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