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12=7-7-3x+5x
We move all terms to the left:
12-(7-7-3x+5x)=0
We add all the numbers together, and all the variables
-(+2x)+12=0
We get rid of parentheses
-2x+12=0
We move all terms containing x to the left, all other terms to the right
-2x=-12
x=-12/-2
x=+6
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