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Simplifying (x + 5)(-4x + -2)(2x + -1) = x Reorder the terms: (5 + x)(-4x + -2)(2x + -1) = x Reorder the terms: (5 + x)(-2 + -4x)(2x + -1) = x Reorder the terms: (5 + x)(-2 + -4x)(-1 + 2x) = x Multiply (5 + x) * (-2 + -4x) (5(-2 + -4x) + x(-2 + -4x))(-1 + 2x) = x ((-2 * 5 + -4x * 5) + x(-2 + -4x))(-1 + 2x) = x ((-10 + -20x) + x(-2 + -4x))(-1 + 2x) = x (-10 + -20x + (-2 * x + -4x * x))(-1 + 2x) = x (-10 + -20x + (-2x + -4x2))(-1 + 2x) = x Combine like terms: -20x + -2x = -22x (-10 + -22x + -4x2)(-1 + 2x) = x Multiply (-10 + -22x + -4x2) * (-1 + 2x) (-10(-1 + 2x) + -22x * (-1 + 2x) + -4x2 * (-1 + 2x)) = x ((-1 * -10 + 2x * -10) + -22x * (-1 + 2x) + -4x2 * (-1 + 2x)) = x ((10 + -20x) + -22x * (-1 + 2x) + -4x2 * (-1 + 2x)) = x (10 + -20x + (-1 * -22x + 2x * -22x) + -4x2 * (-1 + 2x)) = x (10 + -20x + (22x + -44x2) + -4x2 * (-1 + 2x)) = x (10 + -20x + 22x + -44x2 + (-1 * -4x2 + 2x * -4x2)) = x (10 + -20x + 22x + -44x2 + (4x2 + -8x3)) = x Combine like terms: -20x + 22x = 2x (10 + 2x + -44x2 + 4x2 + -8x3) = x Combine like terms: -44x2 + 4x2 = -40x2 (10 + 2x + -40x2 + -8x3) = x Solving 10 + 2x + -40x2 + -8x3 = x Solving for variable 'x'. Reorder the terms: 10 + 2x + -1x + -40x2 + -8x3 = x + -1x Combine like terms: 2x + -1x = 1x 10 + 1x + -40x2 + -8x3 = x + -1x Combine like terms: x + -1x = 0 10 + 1x + -40x2 + -8x3 = 0 The solution to this equation could not be determined.
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