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9x-1=4x+14
We move all terms to the left:
9x-1-(4x+14)=0
We get rid of parentheses
9x-4x-14-1=0
We add all the numbers together, and all the variables
5x-15=0
We move all terms containing x to the left, all other terms to the right
5x=15
x=15/5
x=3
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