I used 2 mini flathead screwdrivers with the same thickness as the holes with the heads aligned straight up and down. They will fit into little sockets attached to the case below the board. The side with the power cord came out much easier than the side with the headphone jack, so I removed the tools after a small gap was created and pushed semi-hard on the logic board with a broken spudger (a screwdriver would have worked, too) right in the elbow curve shown to the left of the screw in step 14, and the whole thing slid right out.

Don't get too impatient once the whole thing is together and it doesn't turn on. Let it charge for 10 minutes or so, then try to turn it on. The battery is fully drained when you get it (or at least mine was).