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Simplifying x(2x + -8) = (2x + 5)(x + -9) Reorder the terms: x(-8 + 2x) = (2x + 5)(x + -9) (-8 * x + 2x * x) = (2x + 5)(x + -9) (-8x + 2x2) = (2x + 5)(x + -9) Reorder the terms: -8x + 2x2 = (5 + 2x)(x + -9) Reorder the terms: -8x + 2x2 = (5 + 2x)(-9 + x) Multiply (5 + 2x) * (-9 + x) -8x + 2x2 = (5(-9 + x) + 2x * (-9 + x)) -8x + 2x2 = ((-9 * 5 + x * 5) + 2x * (-9 + x)) -8x + 2x2 = ((-45 + 5x) + 2x * (-9 + x)) -8x + 2x2 = (-45 + 5x + (-9 * 2x + x * 2x)) -8x + 2x2 = (-45 + 5x + (-18x + 2x2)) Combine like terms: 5x + -18x = -13x -8x + 2x2 = (-45 + -13x + 2x2) Add '-2x2' to each side of the equation. -8x + 2x2 + -2x2 = -45 + -13x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8x + 0 = -45 + -13x + 2x2 + -2x2 -8x = -45 + -13x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8x = -45 + -13x + 0 -8x = -45 + -13x Solving -8x = -45 + -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. -8x + 13x = -45 + -13x + 13x Combine like terms: -8x + 13x = 5x 5x = -45 + -13x + 13x Combine like terms: -13x + 13x = 0 5x = -45 + 0 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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