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8x+12=-2x+42
We move all terms to the left:
8x+12-(-2x+42)=0
We get rid of parentheses
8x+2x-42+12=0
We add all the numbers together, and all the variables
10x-30=0
We move all terms containing x to the left, all other terms to the right
10x=30
x=30/10
x=3
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