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Simplifying (1 + -1x)((2 + -1x)(1 + -1x) + -1) + -1((1 + -1x) + -2) + 2(1 + -2(2 + -1x)) = 0 Multiply (2 + -1x) * (1 + -1x) (1 + -1x)((2(1 + -1x) + -1x * (1 + -1x)) + -1) + -1((1 + -1x) + -2) + 2(1 + -2(2 + -1x)) = 0 (1 + -1x)(((1 * 2 + -1x * 2) + -1x * (1 + -1x)) + -1) + -1((1 + -1x) + -2) + 2(1 + -2(2 + -1x)) = 0 (1 + -1x)(((2 + -2x) + -1x * (1 + -1x)) + -1) + -1((1 + -1x) + -2) + 2(1 + -2(2 + -1x)) = 0 (1 + -1x)((2 + -2x + (1 * -1x + -1x * -1x)) + -1) + -1((1 + -1x) + -2) + 2(1 + -2(2 + -1x)) = 0 (1 + -1x)((2 + -2x + (-1x + 1x2)) + -1) + -1((1 + -1x) + -2) + 2(1 + -2(2 + -1x)) = 0 Combine like terms: -2x + -1x = -3x (1 + -1x)((2 + -3x + 1x2) + -1) + -1((1 + -1x) + -2) + 2(1 + -2(2 + -1x)) = 0 Reorder the terms: (1 + -1x)(2 + -1 + -3x + 1x2) + -1((1 + -1x) + -2) + 2(1 + -2(2 + -1x)) = 0 Combine like terms: 2 + -1 = 1 (1 + -1x)(1 + -3x + 1x2) + -1((1 + -1x) + -2) + 2(1 + -2(2 + -1x)) = 0 Multiply (1 + -1x) * (1 + -3x + 1x2) (1(1 + -3x + 1x2) + -1x * (1 + -3x + 1x2)) + -1((1 + -1x) + -2) + 2(1 + -2(2 + -1x)) = 0 ((1 * 1 + -3x * 1 + 1x2 * 1) + -1x * (1 + -3x + 1x2)) + -1((1 + -1x) + -2) + 2(1 + -2(2 + -1x)) = 0 ((1 + -3x + 1x2) + -1x * (1 + -3x + 1x2)) + -1((1 + -1x) + -2) + 2(1 + -2(2 + -1x)) = 0 (1 + -3x + 1x2 + (1 * -1x + -3x * -1x + 1x2 * -1x)) + -1((1 + -1x) + -2) + 2(1 + -2(2 + -1x)) = 0 (1 + -3x + 1x2 + (-1x + 3x2 + -1x3)) + -1((1 + -1x) + -2) + 2(1 + -2(2 + -1x)) = 0 Reorder the terms: (1 + -3x + -1x + 1x2 + 3x2 + -1x3) + -1((1 + -1x) + -2) + 2(1 + -2(2 + -1x)) = 0 Combine like terms: -3x + -1x = -4x (1 + -4x + 1x2 + 3x2 + -1x3) + -1((1 + -1x) + -2) + 2(1 + -2(2 + -1x)) = 0 Combine like terms: 1x2 + 3x2 = 4x2 (1 + -4x + 4x2 + -1x3) + -1((1 + -1x) + -2) + 2(1 + -2(2 + -1x)) = 0 Remove parenthesis around (1 + -1x) 1 + -4x + 4x2 + -1x3 + -1(1 + -1x + -2) + 2(1 + -2(2 + -1x)) = 0 Reorder the terms: 1 + -4x + 4x2 + -1x3 + -1(1 + -2 + -1x) + 2(1 + -2(2 + -1x)) = 0 Combine like terms: 1 + -2 = -1 1 + -4x + 4x2 + -1x3 + -1(-1 + -1x) + 2(1 + -2(2 + -1x)) = 0 1 + -4x + 4x2 + -1x3 + (-1 * -1 + -1x * -1) + 2(1 + -2(2 + -1x)) = 0 1 + -4x + 4x2 + -1x3 + (1 + 1x) + 2(1 + -2(2 + -1x)) = 0 1 + -4x + 4x2 + -1x3 + 1 + 1x + 2(1 + (2 * -2 + -1x * -2)) = 0 1 + -4x + 4x2 + -1x3 + 1 + 1x + 2(1 + (-4 + 2x)) = 0 Combine like terms: 1 + -4 = -3 1 + -4x + 4x2 + -1x3 + 1 + 1x + 2(-3 + 2x) = 0 1 + -4x + 4x2 + -1x3 + 1 + 1x + (-3 * 2 + 2x * 2) = 0 1 + -4x + 4x2 + -1x3 + 1 + 1x + (-6 + 4x) = 0 Reorder the terms: 1 + 1 + -6 + -4x + 1x + 4x + 4x2 + -1x3 = 0 Combine like terms: 1 + 1 = 2 2 + -6 + -4x + 1x + 4x + 4x2 + -1x3 = 0 Combine like terms: 2 + -6 = -4 -4 + -4x + 1x + 4x + 4x2 + -1x3 = 0 Combine like terms: -4x + 1x = -3x -4 + -3x + 4x + 4x2 + -1x3 = 0 Combine like terms: -3x + 4x = 1x -4 + 1x + 4x2 + -1x3 = 0 Solving -4 + 1x + 4x2 + -1x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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