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8x-12=4x+32
We move all terms to the left:
8x-12-(4x+32)=0
We get rid of parentheses
8x-4x-32-12=0
We add all the numbers together, and all the variables
4x-44=0
We move all terms containing x to the left, all other terms to the right
4x=44
x=44/4
x=11
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