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(x+6)(x+8)-(x-7)(x-5)=0
We multiply parentheses ..
(+x^2+8x+6x+48)-(x-7)(x-5)=0
We get rid of parentheses
x^2+8x+6x-(x-7)(x-5)+48=0
We multiply parentheses ..
x^2-(+x^2-5x-7x+35)+8x+6x+48=0
We add all the numbers together, and all the variables
x^2-(+x^2-5x-7x+35)+14x+48=0
We get rid of parentheses
x^2-x^2+5x+7x+14x-35+48=0
We add all the numbers together, and all the variables
26x+13=0
We move all terms containing x to the left, all other terms to the right
26x=-13
x=-13/26
x=-1/2
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