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6(2x-5)=7x+1
We move all terms to the left:
6(2x-5)-(7x+1)=0
We multiply parentheses
12x-(7x+1)-30=0
We get rid of parentheses
12x-7x-1-30=0
We add all the numbers together, and all the variables
5x-31=0
We move all terms containing x to the left, all other terms to the right
5x=31
x=31/5
x=6+1/5
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