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35+8x=-7x-43
We move all terms to the left:
35+8x-(-7x-43)=0
We get rid of parentheses
8x+7x+43+35=0
We add all the numbers together, and all the variables
15x+78=0
We move all terms containing x to the left, all other terms to the right
15x=-78
x=-78/15
x=-5+1/5
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