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9x+14=-8x-16
We move all terms to the left:
9x+14-(-8x-16)=0
We get rid of parentheses
9x+8x+16+14=0
We add all the numbers together, and all the variables
17x+30=0
We move all terms containing x to the left, all other terms to the right
17x=-30
x=-30/17
x=-1+13/17
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