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6x-6=x+14
We move all terms to the left:
6x-6-(x+14)=0
We get rid of parentheses
6x-x-14-6=0
We add all the numbers together, and all the variables
5x-20=0
We move all terms containing x to the left, all other terms to the right
5x=20
x=20/5
x=4
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