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13x-9=8x+51
We move all terms to the left:
13x-9-(8x+51)=0
We get rid of parentheses
13x-8x-51-9=0
We add all the numbers together, and all the variables
5x-60=0
We move all terms containing x to the left, all other terms to the right
5x=60
x=60/5
x=12
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