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Simplifying (x + 1)(x + 1)(x + 1)(x + 1) = -2 Reorder the terms: (1 + x)(x + 1)(x + 1)(x + 1) = -2 Reorder the terms: (1 + x)(1 + x)(x + 1)(x + 1) = -2 Reorder the terms: (1 + x)(1 + x)(1 + x)(x + 1) = -2 Reorder the terms: (1 + x)(1 + x)(1 + x)(1 + x) = -2 Multiply (1 + x) * (1 + x) (1(1 + x) + x(1 + x))(1 + x)(1 + x) = -2 ((1 * 1 + x * 1) + x(1 + x))(1 + x)(1 + x) = -2 ((1 + 1x) + x(1 + x))(1 + x)(1 + x) = -2 (1 + 1x + (1 * x + x * x))(1 + x)(1 + x) = -2 (1 + 1x + (1x + x2))(1 + x)(1 + x) = -2 Combine like terms: 1x + 1x = 2x (1 + 2x + x2)(1 + x)(1 + x) = -2 Multiply (1 + 2x + x2) * (1 + x) (1(1 + x) + 2x * (1 + x) + x2(1 + x))(1 + x) = -2 ((1 * 1 + x * 1) + 2x * (1 + x) + x2(1 + x))(1 + x) = -2 ((1 + 1x) + 2x * (1 + x) + x2(1 + x))(1 + x) = -2 (1 + 1x + (1 * 2x + x * 2x) + x2(1 + x))(1 + x) = -2 (1 + 1x + (2x + 2x2) + x2(1 + x))(1 + x) = -2 (1 + 1x + 2x + 2x2 + (1 * x2 + x * x2))(1 + x) = -2 (1 + 1x + 2x + 2x2 + (1x2 + x3))(1 + x) = -2 Combine like terms: 1x + 2x = 3x (1 + 3x + 2x2 + 1x2 + x3)(1 + x) = -2 Combine like terms: 2x2 + 1x2 = 3x2 (1 + 3x + 3x2 + x3)(1 + x) = -2 Multiply (1 + 3x + 3x2 + x3) * (1 + x) (1(1 + x) + 3x * (1 + x) + 3x2 * (1 + x) + x3(1 + x)) = -2 ((1 * 1 + x * 1) + 3x * (1 + x) + 3x2 * (1 + x) + x3(1 + x)) = -2 ((1 + 1x) + 3x * (1 + x) + 3x2 * (1 + x) + x3(1 + x)) = -2 (1 + 1x + (1 * 3x + x * 3x) + 3x2 * (1 + x) + x3(1 + x)) = -2 (1 + 1x + (3x + 3x2) + 3x2 * (1 + x) + x3(1 + x)) = -2 (1 + 1x + 3x + 3x2 + (1 * 3x2 + x * 3x2) + x3(1 + x)) = -2 (1 + 1x + 3x + 3x2 + (3x2 + 3x3) + x3(1 + x)) = -2 (1 + 1x + 3x + 3x2 + 3x2 + 3x3 + (1 * x3 + x * x3)) = -2 (1 + 1x + 3x + 3x2 + 3x2 + 3x3 + (1x3 + x4)) = -2 Combine like terms: 1x + 3x = 4x (1 + 4x + 3x2 + 3x2 + 3x3 + 1x3 + x4) = -2 Combine like terms: 3x2 + 3x2 = 6x2 (1 + 4x + 6x2 + 3x3 + 1x3 + x4) = -2 Combine like terms: 3x3 + 1x3 = 4x3 (1 + 4x + 6x2 + 4x3 + x4) = -2 Solving 1 + 4x + 6x2 + 4x3 + x4 = -2 Solving for variable 'x'. Reorder the terms: 1 + 2 + 4x + 6x2 + 4x3 + x4 = -2 + 2 Combine like terms: 1 + 2 = 3 3 + 4x + 6x2 + 4x3 + x4 = -2 + 2 Combine like terms: -2 + 2 = 0 3 + 4x + 6x2 + 4x3 + x4 = 0 The solution to this equation could not be determined.
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