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1+7x=-7x
We move all terms to the left:
1+7x-(-7x)=0
We get rid of parentheses
7x+7x+1=0
We add all the numbers together, and all the variables
14x+1=0
We move all terms containing x to the left, all other terms to the right
14x=-1
x=-1/14
x=-1/14
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