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9x+10=3x-3
We move all terms to the left:
9x+10-(3x-3)=0
We get rid of parentheses
9x-3x+3+10=0
We add all the numbers together, and all the variables
6x+13=0
We move all terms containing x to the left, all other terms to the right
6x=-13
x=-13/6
x=-2+1/6
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