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Simplifying x(4x + -4) + x(4x + -4) = (8x + 9)(x + -1) Reorder the terms: x(-4 + 4x) + x(4x + -4) = (8x + 9)(x + -1) (-4 * x + 4x * x) + x(4x + -4) = (8x + 9)(x + -1) (-4x + 4x2) + x(4x + -4) = (8x + 9)(x + -1) Reorder the terms: -4x + 4x2 + x(-4 + 4x) = (8x + 9)(x + -1) -4x + 4x2 + (-4 * x + 4x * x) = (8x + 9)(x + -1) -4x + 4x2 + (-4x + 4x2) = (8x + 9)(x + -1) Reorder the terms: -4x + -4x + 4x2 + 4x2 = (8x + 9)(x + -1) Combine like terms: -4x + -4x = -8x -8x + 4x2 + 4x2 = (8x + 9)(x + -1) Combine like terms: 4x2 + 4x2 = 8x2 -8x + 8x2 = (8x + 9)(x + -1) Reorder the terms: -8x + 8x2 = (9 + 8x)(x + -1) Reorder the terms: -8x + 8x2 = (9 + 8x)(-1 + x) Multiply (9 + 8x) * (-1 + x) -8x + 8x2 = (9(-1 + x) + 8x * (-1 + x)) -8x + 8x2 = ((-1 * 9 + x * 9) + 8x * (-1 + x)) -8x + 8x2 = ((-9 + 9x) + 8x * (-1 + x)) -8x + 8x2 = (-9 + 9x + (-1 * 8x + x * 8x)) -8x + 8x2 = (-9 + 9x + (-8x + 8x2)) Combine like terms: 9x + -8x = 1x -8x + 8x2 = (-9 + 1x + 8x2) Add '-8x2' to each side of the equation. -8x + 8x2 + -8x2 = -9 + 1x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -8x + 0 = -9 + 1x + 8x2 + -8x2 -8x = -9 + 1x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -8x = -9 + 1x + 0 -8x = -9 + 1x Solving -8x = -9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8x + -1x = -9 + 1x + -1x Combine like terms: -8x + -1x = -9x -9x = -9 + 1x + -1x Combine like terms: 1x + -1x = 0 -9x = -9 + 0 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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