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7x+1=14x+7
We move all terms to the left:
7x+1-(14x+7)=0
We get rid of parentheses
7x-14x-7+1=0
We add all the numbers together, and all the variables
-7x-6=0
We move all terms containing x to the left, all other terms to the right
-7x=6
x=6/-7
x=-6/7
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