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x+9=-6x+66
We move all terms to the left:
x+9-(-6x+66)=0
We get rid of parentheses
x+6x-66+9=0
We add all the numbers together, and all the variables
7x-57=0
We move all terms containing x to the left, all other terms to the right
7x=57
x=57/7
x=8+1/7
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