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4x^2-9x-34=4x^2-14x+6
We move all terms to the left:
4x^2-9x-34-(4x^2-14x+6)=0
We get rid of parentheses
4x^2-4x^2-9x+14x-6-34=0
We add all the numbers together, and all the variables
5x-40=0
We move all terms containing x to the left, all other terms to the right
5x=40
x=40/5
x=8
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