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8x+89=4x-47
We move all terms to the left:
8x+89-(4x-47)=0
We get rid of parentheses
8x-4x+47+89=0
We add all the numbers together, and all the variables
4x+136=0
We move all terms containing x to the left, all other terms to the right
4x=-136
x=-136/4
x=-34
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