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Simplifying (x + -1)(x + -1)(x + -1) = 27 Reorder the terms: (-1 + x)(x + -1)(x + -1) = 27 Reorder the terms: (-1 + x)(-1 + x)(x + -1) = 27 Reorder the terms: (-1 + x)(-1 + x)(-1 + x) = 27 Multiply (-1 + x) * (-1 + x) (-1(-1 + x) + x(-1 + x))(-1 + x) = 27 ((-1 * -1 + x * -1) + x(-1 + x))(-1 + x) = 27 ((1 + -1x) + x(-1 + x))(-1 + x) = 27 (1 + -1x + (-1 * x + x * x))(-1 + x) = 27 (1 + -1x + (-1x + x2))(-1 + x) = 27 Combine like terms: -1x + -1x = -2x (1 + -2x + x2)(-1 + x) = 27 Multiply (1 + -2x + x2) * (-1 + x) (1(-1 + x) + -2x * (-1 + x) + x2(-1 + x)) = 27 ((-1 * 1 + x * 1) + -2x * (-1 + x) + x2(-1 + x)) = 27 ((-1 + 1x) + -2x * (-1 + x) + x2(-1 + x)) = 27 (-1 + 1x + (-1 * -2x + x * -2x) + x2(-1 + x)) = 27 (-1 + 1x + (2x + -2x2) + x2(-1 + x)) = 27 (-1 + 1x + 2x + -2x2 + (-1 * x2 + x * x2)) = 27 (-1 + 1x + 2x + -2x2 + (-1x2 + x3)) = 27 Combine like terms: 1x + 2x = 3x (-1 + 3x + -2x2 + -1x2 + x3) = 27 Combine like terms: -2x2 + -1x2 = -3x2 (-1 + 3x + -3x2 + x3) = 27 Solving -1 + 3x + -3x2 + x3 = 27 Solving for variable 'x'. Reorder the terms: -1 + -27 + 3x + -3x2 + x3 = 27 + -27 Combine like terms: -1 + -27 = -28 -28 + 3x + -3x2 + x3 = 27 + -27 Combine like terms: 27 + -27 = 0 -28 + 3x + -3x2 + x3 = 0 The solution to this equation could not be determined.
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