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-4x-12=-2x+2
We move all terms to the left:
-4x-12-(-2x+2)=0
We get rid of parentheses
-4x+2x-2-12=0
We add all the numbers together, and all the variables
-2x-14=0
We move all terms containing x to the left, all other terms to the right
-2x=14
x=14/-2
x=-7
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