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x*(x+4)=x^2+8
We move all terms to the left:
x*(x+4)-(x^2+8)=0
We multiply parentheses
x^2+4x-(x^2+8)=0
We get rid of parentheses
x^2-x^2+4x-8=0
We add all the numbers together, and all the variables
4x-8=0
We move all terms containing x to the left, all other terms to the right
4x=8
x=8/4
x=2
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