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Simplifying (x + 2)(x + 5)(x + 8)(x + 11) = 3640 Reorder the terms: (2 + x)(x + 5)(x + 8)(x + 11) = 3640 Reorder the terms: (2 + x)(5 + x)(x + 8)(x + 11) = 3640 Reorder the terms: (2 + x)(5 + x)(8 + x)(x + 11) = 3640 Reorder the terms: (2 + x)(5 + x)(8 + x)(11 + x) = 3640 Multiply (2 + x) * (5 + x) (2(5 + x) + x(5 + x))(8 + x)(11 + x) = 3640 ((5 * 2 + x * 2) + x(5 + x))(8 + x)(11 + x) = 3640 ((10 + 2x) + x(5 + x))(8 + x)(11 + x) = 3640 (10 + 2x + (5 * x + x * x))(8 + x)(11 + x) = 3640 (10 + 2x + (5x + x2))(8 + x)(11 + x) = 3640 Combine like terms: 2x + 5x = 7x (10 + 7x + x2)(8 + x)(11 + x) = 3640 Multiply (10 + 7x + x2) * (8 + x) (10(8 + x) + 7x * (8 + x) + x2(8 + x))(11 + x) = 3640 ((8 * 10 + x * 10) + 7x * (8 + x) + x2(8 + x))(11 + x) = 3640 ((80 + 10x) + 7x * (8 + x) + x2(8 + x))(11 + x) = 3640 (80 + 10x + (8 * 7x + x * 7x) + x2(8 + x))(11 + x) = 3640 (80 + 10x + (56x + 7x2) + x2(8 + x))(11 + x) = 3640 (80 + 10x + 56x + 7x2 + (8 * x2 + x * x2))(11 + x) = 3640 (80 + 10x + 56x + 7x2 + (8x2 + x3))(11 + x) = 3640 Combine like terms: 10x + 56x = 66x (80 + 66x + 7x2 + 8x2 + x3)(11 + x) = 3640 Combine like terms: 7x2 + 8x2 = 15x2 (80 + 66x + 15x2 + x3)(11 + x) = 3640 Multiply (80 + 66x + 15x2 + x3) * (11 + x) (80(11 + x) + 66x * (11 + x) + 15x2 * (11 + x) + x3(11 + x)) = 3640 ((11 * 80 + x * 80) + 66x * (11 + x) + 15x2 * (11 + x) + x3(11 + x)) = 3640 ((880 + 80x) + 66x * (11 + x) + 15x2 * (11 + x) + x3(11 + x)) = 3640 (880 + 80x + (11 * 66x + x * 66x) + 15x2 * (11 + x) + x3(11 + x)) = 3640 (880 + 80x + (726x + 66x2) + 15x2 * (11 + x) + x3(11 + x)) = 3640 (880 + 80x + 726x + 66x2 + (11 * 15x2 + x * 15x2) + x3(11 + x)) = 3640 (880 + 80x + 726x + 66x2 + (165x2 + 15x3) + x3(11 + x)) = 3640 (880 + 80x + 726x + 66x2 + 165x2 + 15x3 + (11 * x3 + x * x3)) = 3640 (880 + 80x + 726x + 66x2 + 165x2 + 15x3 + (11x3 + x4)) = 3640 Combine like terms: 80x + 726x = 806x (880 + 806x + 66x2 + 165x2 + 15x3 + 11x3 + x4) = 3640 Combine like terms: 66x2 + 165x2 = 231x2 (880 + 806x + 231x2 + 15x3 + 11x3 + x4) = 3640 Combine like terms: 15x3 + 11x3 = 26x3 (880 + 806x + 231x2 + 26x3 + x4) = 3640 Solving 880 + 806x + 231x2 + 26x3 + x4 = 3640 Solving for variable 'x'. Reorder the terms: 880 + -3640 + 806x + 231x2 + 26x3 + x4 = 3640 + -3640 Combine like terms: 880 + -3640 = -2760 -2760 + 806x + 231x2 + 26x3 + x4 = 3640 + -3640 Combine like terms: 3640 + -3640 = 0 -2760 + 806x + 231x2 + 26x3 + x4 = 0 The solution to this equation could not be determined.
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