Ok, here's a basic rundown of how I wired the flexwatt.
I didn't know what flexwatt looked like until recently, so here is a pic of a strip of flexwatt:

Next is a pic of the tools I used. Nothing fancy, just basic stuff:

Here is a closeup of how the connectors go onto the flexwatt:

A generous amount of electrical tape to cover everything up:

And it's done! Certainly not worthy of an electrician, but it has been running for 48 hours with no problems. I also connected a dimmer switch. In my above post, I said it wasn't getting the flexwatt very hot, but for whatever reason, that has now changed. Max temp now is 120.
The great thing about using the flexwatt is you can cut it to any length you need, and pretty much put it anywhere. If you waterproof it with silicone, you could even use it inside the enclosure. Always with a temperature regulator, of course.