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cos(2x-180) - sin(x-90)=0

my work:
cos2xcos180 + sin2xsin180= sinxcos90 - sin90cosx
-cos2x - sin2x= cosx
-cos^2x + sin^2x -2sinxcosx=cosx
I'm stuck here. I tried subtracting cosx from both sides and making sin^2x into 1- cos^2x, but I still can't seem to solve the problem.

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