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4x-14=-2x+9
We move all terms to the left:
4x-14-(-2x+9)=0
We get rid of parentheses
4x+2x-9-14=0
We add all the numbers together, and all the variables
6x-23=0
We move all terms containing x to the left, all other terms to the right
6x=23
x=23/6
x=3+5/6
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