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