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