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(x+7)(x-2)=(x+8)(x+4)
We move all terms to the left:
(x+7)(x-2)-((x+8)(x+4))=0
We multiply parentheses ..
(+x^2-2x+7x-14)-((x+8)(x+4))=0
We calculate terms in parentheses: -((x+8)(x+4)), so:We get rid of parentheses
(x+8)(x+4)
We multiply parentheses ..
(+x^2+4x+8x+32)
We get rid of parentheses
x^2+4x+8x+32
We add all the numbers together, and all the variables
x^2+12x+32
Back to the equation:
-(x^2+12x+32)
x^2-x^2-2x+7x-12x-14-32=0
We add all the numbers together, and all the variables
-7x-46=0
We move all terms containing x to the left, all other terms to the right
-7x=46
x=46/-7
x=-6+4/7
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