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3x+10=12x-71
We move all terms to the left:
3x+10-(12x-71)=0
We get rid of parentheses
3x-12x+71+10=0
We add all the numbers together, and all the variables
-9x+81=0
We move all terms containing x to the left, all other terms to the right
-9x=-81
x=-81/-9
x=+9
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