Solution for Think Outside the Room.
In order to complete the level, you need to go to the console and skip the room. In the next room, there is a switch that says Laser Controller. Hit it and walk back through the left door. The laser will be off, and you can complete the level normally.
For the hard badge, do:
Letting Go
Abstract
Radar
Breathe.
Just don't get touched by any red shape and collect every purple and you will smash the score.
When I did it, I finished the level with a x207 combo, over 15 million points, and 66% of the shapes collected. Hope this helps anyone having trouble.
 "How Smart Are You?"){kind=icon}
 "This is the Only Level 3"){kind=icon}
 "Super Duck Punch!"){kind=icon}
 "Desktop Tower Defense 1.5"){kind=icon}
 "Music Catch 2"){kind=icon}
 "Elephant Quest"){kind=icon}
 "3 Slices 2"){kind=icon}
 "Unreal Flash 3"){kind=icon}
 "Kick Out Bieber"){kind=icon}
 "Truck Toss"){kind=icon}
 "House Builder"){kind=icon}
 "Synapsis"){kind=icon}
 "Draw-Play 2"){kind=icon}