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4x+34=12x+54
We move all terms to the left:
4x+34-(12x+54)=0
We get rid of parentheses
4x-12x-54+34=0
We add all the numbers together, and all the variables
-8x-20=0
We move all terms containing x to the left, all other terms to the right
-8x=20
x=20/-8
x=-2+1/2
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