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6x+51=-11x-51
We move all terms to the left:
6x+51-(-11x-51)=0
We get rid of parentheses
6x+11x+51+51=0
We add all the numbers together, and all the variables
17x+102=0
We move all terms containing x to the left, all other terms to the right
17x=-102
x=-102/17
x=-6
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