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3x-51=7x+9
We move all terms to the left:
3x-51-(7x+9)=0
We get rid of parentheses
3x-7x-9-51=0
We add all the numbers together, and all the variables
-4x-60=0
We move all terms containing x to the left, all other terms to the right
-4x=60
x=60/-4
x=-15
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