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(X+3)(X-1)-(X-1)(X-4)+(X+2)(X+4)-(X+1)(X-2)=17
We move all terms to the left:
(X+3)(X-1)-(X-1)(X-4)+(X+2)(X+4)-(X+1)(X-2)-(17)=0
We multiply parentheses ..
(+X^2-1X+3X-3)-(X-1)(X-4)+(X+2)(X+4)-(X+1)(X-2)-17=0
We get rid of parentheses
X^2-1X+3X-(X-1)(X-4)+(X+2)(X+4)-(X+1)(X-2)-3-17=0
We multiply parentheses ..
X^2-(+X^2-4X-1X+4)-1X+3X+(X+2)(X+4)-(X+1)(X-2)-3-17=0
We add all the numbers together, and all the variables
X^2-(+X^2-4X-1X+4)+2X+(X+2)(X+4)-(X+1)(X-2)-20=0
We get rid of parentheses
X^2-X^2+4X+1X+2X+(X+2)(X+4)-(X+1)(X-2)-4-20=0
We multiply parentheses ..
X^2-X^2+(+X^2+4X+2X+8)+4X+1X+2X-(X+1)(X-2)-4-20=0
We add all the numbers together, and all the variables
(+X^2+4X+2X+8)+7X-(X+1)(X-2)-24=0
We get rid of parentheses
X^2+4X+2X+7X-(X+1)(X-2)+8-24=0
We multiply parentheses ..
X^2-(+X^2-2X+X-2)+4X+2X+7X+8-24=0
We add all the numbers together, and all the variables
X^2-(+X^2-2X+X-2)+13X-16=0
We get rid of parentheses
X^2-X^2+2X-X+13X+2-16=0
We add all the numbers together, and all the variables
14X-14=0
We move all terms containing X to the left, all other terms to the right
14X=14
X=14/14
X=1
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