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14x+6=12x-9
We move all terms to the left:
14x+6-(12x-9)=0
We get rid of parentheses
14x-12x+9+6=0
We add all the numbers together, and all the variables
2x+15=0
We move all terms containing x to the left, all other terms to the right
2x=-15
x=-15/2
x=-7+1/2
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