I use a far simpler method and fewer tools.
It's called a butterfly patch.
Remove the debris from the hole, saving a large enough piece for a paint sample.
Cut a piece of 1/2" DW an inch or so larger than the hole. on the reverse side, cut the shape of the hole, cut from that shape out to the edge of the piece. The piece will crack when bent slightly so you can peel the drywall, outside of the previously cut patch, off of the finished surface paper.
Mix some mud and butter-up the edges of the hole the edges of the center of the patch and the flaps, insert the patch into the hole and smooth the mud out to the edges, fill and smooth and indentations.
As for matching the texture there are a number of aerosol cans of texture products sold, with adjustable spray which can be either troweled or sanded close to a match.
Then just prime and paint.