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4+7x+1=8x+6
We move all terms to the left:
4+7x+1-(8x+6)=0
We add all the numbers together, and all the variables
7x-(8x+6)+5=0
We get rid of parentheses
7x-8x-6+5=0
We add all the numbers together, and all the variables
-1x-1=0
We move all terms containing x to the left, all other terms to the right
-x=1
x=1/-1
x=-1
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