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Simplifying 4x(2x + 5) = 8(x + 1)(x + -1) Reorder the terms: 4x(5 + 2x) = 8(x + 1)(x + -1) (5 * 4x + 2x * 4x) = 8(x + 1)(x + -1) (20x + 8x2) = 8(x + 1)(x + -1) Reorder the terms: 20x + 8x2 = 8(1 + x)(x + -1) Reorder the terms: 20x + 8x2 = 8(1 + x)(-1 + x) Multiply (1 + x) * (-1 + x) 20x + 8x2 = 8(1(-1 + x) + x(-1 + x)) 20x + 8x2 = 8((-1 * 1 + x * 1) + x(-1 + x)) 20x + 8x2 = 8((-1 + 1x) + x(-1 + x)) 20x + 8x2 = 8(-1 + 1x + (-1 * x + x * x)) 20x + 8x2 = 8(-1 + 1x + (-1x + x2)) Combine like terms: 1x + -1x = 0 20x + 8x2 = 8(-1 + 0 + x2) 20x + 8x2 = 8(-1 + x2) 20x + 8x2 = (-1 * 8 + x2 * 8) 20x + 8x2 = (-8 + 8x2) Add '-8x2' to each side of the equation. 20x + 8x2 + -8x2 = -8 + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 20x + 0 = -8 + 8x2 + -8x2 20x = -8 + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 20x = -8 + 0 20x = -8 Solving 20x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '20'. x = -0.4 Simplifying x = -0.4
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