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6x+8=8x+7
We move all terms to the left:
6x+8-(8x+7)=0
We get rid of parentheses
6x-8x-7+8=0
We add all the numbers together, and all the variables
-2x+1=0
We move all terms containing x to the left, all other terms to the right
-2x=-1
x=-1/-2
x=1/2
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