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4x+1=-7x+67
We move all terms to the left:
4x+1-(-7x+67)=0
We get rid of parentheses
4x+7x-67+1=0
We add all the numbers together, and all the variables
11x-66=0
We move all terms containing x to the left, all other terms to the right
11x=66
x=66/11
x=6
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