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Simplifying (x + 2)(x + 2)(3x + 1)(x + 7) = 140 Reorder the terms: (2 + x)(x + 2)(3x + 1)(x + 7) = 140 Reorder the terms: (2 + x)(2 + x)(3x + 1)(x + 7) = 140 Reorder the terms: (2 + x)(2 + x)(1 + 3x)(x + 7) = 140 Reorder the terms: (2 + x)(2 + x)(1 + 3x)(7 + x) = 140 Multiply (2 + x) * (2 + x) (2(2 + x) + x(2 + x))(1 + 3x)(7 + x) = 140 ((2 * 2 + x * 2) + x(2 + x))(1 + 3x)(7 + x) = 140 ((4 + 2x) + x(2 + x))(1 + 3x)(7 + x) = 140 (4 + 2x + (2 * x + x * x))(1 + 3x)(7 + x) = 140 (4 + 2x + (2x + x2))(1 + 3x)(7 + x) = 140 Combine like terms: 2x + 2x = 4x (4 + 4x + x2)(1 + 3x)(7 + x) = 140 Multiply (4 + 4x + x2) * (1 + 3x) (4(1 + 3x) + 4x * (1 + 3x) + x2(1 + 3x))(7 + x) = 140 ((1 * 4 + 3x * 4) + 4x * (1 + 3x) + x2(1 + 3x))(7 + x) = 140 ((4 + 12x) + 4x * (1 + 3x) + x2(1 + 3x))(7 + x) = 140 (4 + 12x + (1 * 4x + 3x * 4x) + x2(1 + 3x))(7 + x) = 140 (4 + 12x + (4x + 12x2) + x2(1 + 3x))(7 + x) = 140 (4 + 12x + 4x + 12x2 + (1 * x2 + 3x * x2))(7 + x) = 140 (4 + 12x + 4x + 12x2 + (1x2 + 3x3))(7 + x) = 140 Combine like terms: 12x + 4x = 16x (4 + 16x + 12x2 + 1x2 + 3x3)(7 + x) = 140 Combine like terms: 12x2 + 1x2 = 13x2 (4 + 16x + 13x2 + 3x3)(7 + x) = 140 Multiply (4 + 16x + 13x2 + 3x3) * (7 + x) (4(7 + x) + 16x * (7 + x) + 13x2 * (7 + x) + 3x3 * (7 + x)) = 140 ((7 * 4 + x * 4) + 16x * (7 + x) + 13x2 * (7 + x) + 3x3 * (7 + x)) = 140 ((28 + 4x) + 16x * (7 + x) + 13x2 * (7 + x) + 3x3 * (7 + x)) = 140 (28 + 4x + (7 * 16x + x * 16x) + 13x2 * (7 + x) + 3x3 * (7 + x)) = 140 (28 + 4x + (112x + 16x2) + 13x2 * (7 + x) + 3x3 * (7 + x)) = 140 (28 + 4x + 112x + 16x2 + (7 * 13x2 + x * 13x2) + 3x3 * (7 + x)) = 140 (28 + 4x + 112x + 16x2 + (91x2 + 13x3) + 3x3 * (7 + x)) = 140 (28 + 4x + 112x + 16x2 + 91x2 + 13x3 + (7 * 3x3 + x * 3x3)) = 140 (28 + 4x + 112x + 16x2 + 91x2 + 13x3 + (21x3 + 3x4)) = 140 Combine like terms: 4x + 112x = 116x (28 + 116x + 16x2 + 91x2 + 13x3 + 21x3 + 3x4) = 140 Combine like terms: 16x2 + 91x2 = 107x2 (28 + 116x + 107x2 + 13x3 + 21x3 + 3x4) = 140 Combine like terms: 13x3 + 21x3 = 34x3 (28 + 116x + 107x2 + 34x3 + 3x4) = 140 Solving 28 + 116x + 107x2 + 34x3 + 3x4 = 140 Solving for variable 'x'. Reorder the terms: 28 + -140 + 116x + 107x2 + 34x3 + 3x4 = 140 + -140 Combine like terms: 28 + -140 = -112 -112 + 116x + 107x2 + 34x3 + 3x4 = 140 + -140 Combine like terms: 140 + -140 = 0 -112 + 116x + 107x2 + 34x3 + 3x4 = 0 The solution to this equation could not be determined.
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