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4x+102=8x-6
We move all terms to the left:
4x+102-(8x-6)=0
We get rid of parentheses
4x-8x+6+102=0
We add all the numbers together, and all the variables
-4x+108=0
We move all terms containing x to the left, all other terms to the right
-4x=-108
x=-108/-4
x=+27
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