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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)+6X-111=0
We get rid of parentheses
X^2-X^2-2X-3X+6X-6-111=0
We add all the numbers together, and all the variables
X-117=0
We move all terms containing X to the left, all other terms to the right
X=117
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