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Simplifying x(2x + -4) + x(2x + -4) = (4x + 9)(x + -5) Reorder the terms: x(-4 + 2x) + x(2x + -4) = (4x + 9)(x + -5) (-4 * x + 2x * x) + x(2x + -4) = (4x + 9)(x + -5) (-4x + 2x2) + x(2x + -4) = (4x + 9)(x + -5) Reorder the terms: -4x + 2x2 + x(-4 + 2x) = (4x + 9)(x + -5) -4x + 2x2 + (-4 * x + 2x * x) = (4x + 9)(x + -5) -4x + 2x2 + (-4x + 2x2) = (4x + 9)(x + -5) Reorder the terms: -4x + -4x + 2x2 + 2x2 = (4x + 9)(x + -5) Combine like terms: -4x + -4x = -8x -8x + 2x2 + 2x2 = (4x + 9)(x + -5) Combine like terms: 2x2 + 2x2 = 4x2 -8x + 4x2 = (4x + 9)(x + -5) Reorder the terms: -8x + 4x2 = (9 + 4x)(x + -5) Reorder the terms: -8x + 4x2 = (9 + 4x)(-5 + x) Multiply (9 + 4x) * (-5 + x) -8x + 4x2 = (9(-5 + x) + 4x * (-5 + x)) -8x + 4x2 = ((-5 * 9 + x * 9) + 4x * (-5 + x)) -8x + 4x2 = ((-45 + 9x) + 4x * (-5 + x)) -8x + 4x2 = (-45 + 9x + (-5 * 4x + x * 4x)) -8x + 4x2 = (-45 + 9x + (-20x + 4x2)) Combine like terms: 9x + -20x = -11x -8x + 4x2 = (-45 + -11x + 4x2) Add '-4x2' to each side of the equation. -8x + 4x2 + -4x2 = -45 + -11x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -8x + 0 = -45 + -11x + 4x2 + -4x2 -8x = -45 + -11x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -8x = -45 + -11x + 0 -8x = -45 + -11x Solving -8x = -45 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -8x + 11x = -45 + -11x + 11x Combine like terms: -8x + 11x = 3x 3x = -45 + -11x + 11x Combine like terms: -11x + 11x = 0 3x = -45 + 0 3x = -45 Divide each side by '3'. x = -15 Simplifying x = -15
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