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9x+9=2x+2
We move all terms to the left:
9x+9-(2x+2)=0
We get rid of parentheses
9x-2x-2+9=0
We add all the numbers together, and all the variables
7x+7=0
We move all terms containing x to the left, all other terms to the right
7x=-7
x=-7/7
x=-1
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