Directive 7 is one of the solo flashpoints set during the class stories or shortly thereafter, that you can play. If you've never gone through, I'd suggest trying it out now, before 7.0 drops. 

Rewards: In story mode, Directive 7 drops this cool deco. It's technically a mentor processing core, but it looks Voss, and it looks neat in a wide variety of settings. 

trStory: 

Directive 7 is basically an Order 66 type deal - the liberated droids are going to send out a galaxy-wide signal that will compel every single droid on every single planet and system to murder all the organics (yes, we're basically dealing with the droid version of Vitiate). The head of the rebellion, Mentor, has also connected almost all the other droids to their own hivemind. Luckily, one of the liberated droids, C5-M3, tips you off and assists you. Off you go to the planet Zadd to stop Mentor before the slaughter signal can be broadcast.

Where to get it: If you plan on doing this flashpoint once for the experience, I'd strongly suggest getting the full story experience. Imperial side, you can find the droid quest giver either on the fleet near the GTN and gift vendors (upper tier) or on Corellia by the Imperial War Camp. I could not find the Corellia quest giver for the Republic, but there's one on the fleet in the same area - it is marked "Galactic Trade Market" and is the section where you buy companion gifts or browse the GTN terminals. Talking to the droid will give you the Immediate Vengeance story chain. 

There will be a short cut scene with the droid, in which you will learn that your faction's soldiers were murdered en masse by their own droids. And the other faction isn't responsible. Board the nearby shuttle, which will take you to the Ziost Shadow (Imperial) or Gav Dagaron (Republic) fleet ship. There will be a nearby instanced area for another short story scene. After you finish the flashpoint you will return here for another cut scene to complete the mission. 

Now, the interesting thing here is that it's a purple - that is, main story - mission. The flashpoint was considered critical to the story and given a solo mode. To the best of my knowledge, however, you never hear anything about the planet Zadd or these droids again. There isn't even a Codex entry for Zadd. Vestiges of a discarded plotline, perhaps? 

Alternatives: 

If you don't care about the story or have already done the mission, you can pick up the flashpoint by a) talking to the droid outside the instanced area on the Ziost Shadow or b) Press CTRL+G to bring up your activity panel. Go to the 'solo' tab. Scroll down to the flashpoints and choose Directive 7. 

Basics: 

1. This is a long flashpoint. With Viri (Sith Warrior Vengeance Juggernaut, level 75/gear 306) and Lana (influence level 50, set to heals) moving right along and skipping the bonus missions, it took about 45 minutes. 

2. Expect heavy mobs in a lot of places. It's quantity, not quality, but you can get overwhelmed. Make sure you use the combat support droid that is provided to accompany you! And remember you can re-summon the droid if it dies (look on your mission tab in your inventory for the device to re-summon)

3. The only repair droid is at the shuttle where you land, so make sure you have the perk to summon your own. 

4. If you are trying to get a companion kill count achievement, this is a good place to work on it. Without any effort you can defeat more than 100 droid NPCs in here. 

You will be let off the shuttle on a hillside. Head toward the compound. There are several places to do bonus missions. You can finish the "kill 50 droids" one without any effort on your part at all. When you get to the gate, click on the console for a short cut scene with C5-M3. 

Go inside and deal with the first boss, Detector. No real tricks here. Just keep hitting him. Now head down to the end of the dock to click this pile of blue missiles. There will be an explosion, and a bridge will appear behind the column. Cross the bridge to the factory and keep fighting until the next cut scene. 

Mentor Assassins Theta, Beta and Zeta: All three droids will attack you at once. You need to hit whoever is not shielded. Other than that, no tricks. BUG: when I've played this, the Assassins have not shown up at first, so I've had to fight invisible enemies. Use your AOEs until they appear. 

Since I post about bad pugs and idiots a lot, it's good to have something here about the good times.

On my newest lvl 70 assassin (and yes, newest. This is my third... My 9th Inq...), I went for random group finder flashpoint for the daily. Hammer Station popped. *fist pumps* 3 assassins and one sorcerer. We skipped so much and everything just melted. XD People did die a couple times and I almost died myself as I've gotten unused to holding aggro on bosses and the tunnel droid is a pain with no cleansing. Still a super speedy run even with the person who was trying to role play during it. By themselves. So they weren't trying to draw us in like the erper one time who wanted an orgy.... Now that was awkward. Anyways, super speedy run and felt good about my deception DPS cause I pulled off of everyone with the bosses and sometimes even adds just from my opener. ^_^

Next run! My marauder just a couple minutes later. Got an in progress Directive 7. At the last boss and apparently the group had been doing the bonuses. So I get in and get the codex and cxp for one of the bonuses not even a few seconds later. X'D 70 Tank, 50ish healer, another dps I spaced on, and my beautiful near full 246 to 248 mara. Everything melted. It was beautiful. And felt good about my mara DPS as a friend is a mara DPS and I feel like I can't keep up on any DPS compared to them. So that was good to see that I've still got it. XD

Basically, I felt accomplished as a DPS instead of just a healer where even then I sometimes feel like I fail due to dying so easily in the HM ops. So a good night.