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x+9=-3x-27
We move all terms to the left:
x+9-(-3x-27)=0
We get rid of parentheses
x+3x+27+9=0
We add all the numbers together, and all the variables
4x+36=0
We move all terms containing x to the left, all other terms to the right
4x=-36
x=-36/4
x=-9
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