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x-4=7x-12+2x
We move all terms to the left:
x-4-(7x-12+2x)=0
We add all the numbers together, and all the variables
x-(9x-12)-4=0
We get rid of parentheses
x-9x+12-4=0
We add all the numbers together, and all the variables
-8x+8=0
We move all terms containing x to the left, all other terms to the right
-8x=-8
x=-8/-8
x=1
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