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(x-8)(x-14)-(x+3)(x+2)+1=0
We multiply parentheses ..
(+x^2-14x-8x+112)-(x+3)(x+2)+1=0
We get rid of parentheses
x^2-14x-8x-(x+3)(x+2)+112+1=0
We multiply parentheses ..
x^2-(+x^2+2x+3x+6)-14x-8x+112+1=0
We add all the numbers together, and all the variables
x^2-(+x^2+2x+3x+6)-22x+113=0
We get rid of parentheses
x^2-x^2-2x-3x-22x-6+113=0
We add all the numbers together, and all the variables
-27x+107=0
We move all terms containing x to the left, all other terms to the right
-27x=-107
x=-107/-27
x=3+26/27
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