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Simplifying 12 + (x + -5)(x + 5) = x(x + 13) Reorder the terms: 12 + (-5 + x)(x + 5) = x(x + 13) Reorder the terms: 12 + (-5 + x)(5 + x) = x(x + 13) Multiply (-5 + x) * (5 + x) 12 + (-5(5 + x) + x(5 + x)) = x(x + 13) 12 + ((5 * -5 + x * -5) + x(5 + x)) = x(x + 13) 12 + ((-25 + -5x) + x(5 + x)) = x(x + 13) 12 + (-25 + -5x + (5 * x + x * x)) = x(x + 13) 12 + (-25 + -5x + (5x + x2)) = x(x + 13) Combine like terms: -5x + 5x = 0 12 + (-25 + 0 + x2) = x(x + 13) 12 + (-25 + x2) = x(x + 13) Combine like terms: 12 + -25 = -13 -13 + x2 = x(x + 13) Reorder the terms: -13 + x2 = x(13 + x) -13 + x2 = (13 * x + x * x) -13 + x2 = (13x + x2) Add '-1x2' to each side of the equation. -13 + x2 + -1x2 = 13x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -13 + 0 = 13x + x2 + -1x2 -13 = 13x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -13 = 13x + 0 -13 = 13x Solving -13 = 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -13 + -13x = 13x + -13x Combine like terms: 13x + -13x = 0 -13 + -13x = 0 Add '13' to each side of the equation. -13 + 13 + -13x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -13x = 0 + 13 -13x = 0 + 13 Combine like terms: 0 + 13 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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