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11x-9=12x-2
We move all terms to the left:
11x-9-(12x-2)=0
We get rid of parentheses
11x-12x+2-9=0
We add all the numbers together, and all the variables
-1x-7=0
We move all terms containing x to the left, all other terms to the right
-x=7
x=7/-1
x=-7
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