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Simplifying 4x(x + -8) = 2(2x + -1)(x + -9) Reorder the terms: 4x(-8 + x) = 2(2x + -1)(x + -9) (-8 * 4x + x * 4x) = 2(2x + -1)(x + -9) (-32x + 4x2) = 2(2x + -1)(x + -9) Reorder the terms: -32x + 4x2 = 2(-1 + 2x)(x + -9) Reorder the terms: -32x + 4x2 = 2(-1 + 2x)(-9 + x) Multiply (-1 + 2x) * (-9 + x) -32x + 4x2 = 2(-1(-9 + x) + 2x * (-9 + x)) -32x + 4x2 = 2((-9 * -1 + x * -1) + 2x * (-9 + x)) -32x + 4x2 = 2((9 + -1x) + 2x * (-9 + x)) -32x + 4x2 = 2(9 + -1x + (-9 * 2x + x * 2x)) -32x + 4x2 = 2(9 + -1x + (-18x + 2x2)) Combine like terms: -1x + -18x = -19x -32x + 4x2 = 2(9 + -19x + 2x2) -32x + 4x2 = (9 * 2 + -19x * 2 + 2x2 * 2) -32x + 4x2 = (18 + -38x + 4x2) Add '-4x2' to each side of the equation. -32x + 4x2 + -4x2 = 18 + -38x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -32x + 0 = 18 + -38x + 4x2 + -4x2 -32x = 18 + -38x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -32x = 18 + -38x + 0 -32x = 18 + -38x Solving -32x = 18 + -38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38x' to each side of the equation. -32x + 38x = 18 + -38x + 38x Combine like terms: -32x + 38x = 6x 6x = 18 + -38x + 38x Combine like terms: -38x + 38x = 0 6x = 18 + 0 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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