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6-4x=7x+8
We move all terms to the left:
6-4x-(7x+8)=0
We get rid of parentheses
-4x-7x-8+6=0
We add all the numbers together, and all the variables
-11x-2=0
We move all terms containing x to the left, all other terms to the right
-11x=2
x=2/-11
x=-2/11
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