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5x+10=-100-7x
We move all terms to the left:
5x+10-(-100-7x)=0
We add all the numbers together, and all the variables
5x-(-7x-100)+10=0
We get rid of parentheses
5x+7x+100+10=0
We add all the numbers together, and all the variables
12x+110=0
We move all terms containing x to the left, all other terms to the right
12x=-110
x=-110/12
x=-9+1/6
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