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3(x-5)+4(x+1)=31
We move all terms to the left:
3(x-5)+4(x+1)-(31)=0
We multiply parentheses
3x+4x-15+4-31=0
We add all the numbers together, and all the variables
7x-42=0
We move all terms containing x to the left, all other terms to the right
7x=42
x=42/7
x=6
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