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Simplifying (x + -5)(x + 7) = x2 + -9 Reorder the terms: (-5 + x)(x + 7) = x2 + -9 Reorder the terms: (-5 + x)(7 + x) = x2 + -9 Multiply (-5 + x) * (7 + x) (-5(7 + x) + x(7 + x)) = x2 + -9 ((7 * -5 + x * -5) + x(7 + x)) = x2 + -9 ((-35 + -5x) + x(7 + x)) = x2 + -9 (-35 + -5x + (7 * x + x * x)) = x2 + -9 (-35 + -5x + (7x + x2)) = x2 + -9 Combine like terms: -5x + 7x = 2x (-35 + 2x + x2) = x2 + -9 Reorder the terms: -35 + 2x + x2 = -9 + x2 Add '-1x2' to each side of the equation. -35 + 2x + x2 + -1x2 = -9 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -35 + 2x + 0 = -9 + x2 + -1x2 -35 + 2x = -9 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -35 + 2x = -9 + 0 -35 + 2x = -9 Solving -35 + 2x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 2x = -9 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = -9 + 35 2x = -9 + 35 Combine like terms: -9 + 35 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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