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12x+3=-4x+7
We move all terms to the left:
12x+3-(-4x+7)=0
We get rid of parentheses
12x+4x-7+3=0
We add all the numbers together, and all the variables
16x-4=0
We move all terms containing x to the left, all other terms to the right
16x=4
x=4/16
x=1/4
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