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Simplifying (1 + -1x)(1 + -2x)(1 + 3x) = 36 Multiply (1 + -1x) * (1 + -2x) (1(1 + -2x) + -1x * (1 + -2x))(1 + 3x) = 36 ((1 * 1 + -2x * 1) + -1x * (1 + -2x))(1 + 3x) = 36 ((1 + -2x) + -1x * (1 + -2x))(1 + 3x) = 36 (1 + -2x + (1 * -1x + -2x * -1x))(1 + 3x) = 36 (1 + -2x + (-1x + 2x2))(1 + 3x) = 36 Combine like terms: -2x + -1x = -3x (1 + -3x + 2x2)(1 + 3x) = 36 Multiply (1 + -3x + 2x2) * (1 + 3x) (1(1 + 3x) + -3x * (1 + 3x) + 2x2 * (1 + 3x)) = 36 ((1 * 1 + 3x * 1) + -3x * (1 + 3x) + 2x2 * (1 + 3x)) = 36 ((1 + 3x) + -3x * (1 + 3x) + 2x2 * (1 + 3x)) = 36 (1 + 3x + (1 * -3x + 3x * -3x) + 2x2 * (1 + 3x)) = 36 (1 + 3x + (-3x + -9x2) + 2x2 * (1 + 3x)) = 36 (1 + 3x + -3x + -9x2 + (1 * 2x2 + 3x * 2x2)) = 36 (1 + 3x + -3x + -9x2 + (2x2 + 6x3)) = 36 Combine like terms: 3x + -3x = 0 (1 + 0 + -9x2 + 2x2 + 6x3) = 36 (1 + -9x2 + 2x2 + 6x3) = 36 Combine like terms: -9x2 + 2x2 = -7x2 (1 + -7x2 + 6x3) = 36 Solving 1 + -7x2 + 6x3 = 36 Solving for variable 'x'. Reorder the terms: 1 + -36 + -7x2 + 6x3 = 36 + -36 Combine like terms: 1 + -36 = -35 -35 + -7x2 + 6x3 = 36 + -36 Combine like terms: 36 + -36 = 0 -35 + -7x2 + 6x3 = 0 The solution to this equation could not be determined.
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