There are two algorithms to solve the last extruded face.
Corner Swap:
B' U' r' Dd' Rr U Rr' Dd r BEdge Swap:
R U2 R U2 R U2 R U2 RFor swapping adjacent edges on the last layer move them opposite of each other with about 3 moves then swap them.
X Cube
To solve this I put it in the X shape then solve the 3x3 white and yellow squares then work my way along the 4 outside edges solving each one at a time similar to how you would solve the 5x5 centers.
There are two algorithms to solve the last extruded face.
For swapping adjacent edges on the last layer move them opposite of each other with about 3 moves then swap them.
There are two algorithms to solve the last extruded face.
For swapping adjacent edges on the last layer move them opposite of each other with about 3 moves then swap them.