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9x+3=6x+51
We move all terms to the left:
9x+3-(6x+51)=0
We get rid of parentheses
9x-6x-51+3=0
We add all the numbers together, and all the variables
3x-48=0
We move all terms containing x to the left, all other terms to the right
3x=48
x=48/3
x=16
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