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6x+2=-5x-9
We move all terms to the left:
6x+2-(-5x-9)=0
We get rid of parentheses
6x+5x+9+2=0
We add all the numbers together, and all the variables
11x+11=0
We move all terms containing x to the left, all other terms to the right
11x=-11
x=-11/11
x=-1
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