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X(X+6)-(X-1)(X+5)=71
We move all terms to the left:
X(X+6)-(X-1)(X+5)-(71)=0
We multiply parentheses
X^2+6X-(X-1)(X+5)-71=0
We multiply parentheses ..
X^2-(+X^2+5X-1X-5)+6X-71=0
We get rid of parentheses
X^2-X^2-5X+1X+6X+5-71=0
We add all the numbers together, and all the variables
2X-66=0
We move all terms containing X to the left, all other terms to the right
2X=66
X=66/2
X=33
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