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this is part 1 of how to solve the centers on a 5x5 rubik's cube which is the first step,for edges and the final solve go to www.bigcube.com and go to the edges section for the proffessor their is a video there,hope this helps
sorry sorry sorry this video has 14 MB, i forgot to take the other recording program, but anyway:i solved a 7x7x7 supercube and it exploded(as you can see)
i didnt want to be especially fast but i think 15 minutes can be possible.