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Simplifying (x + 1)(x + 3)(x + 3)(x + 4) + 8 = 0 Reorder the terms: (1 + x)(x + 3)(x + 3)(x + 4) + 8 = 0 Reorder the terms: (1 + x)(3 + x)(x + 3)(x + 4) + 8 = 0 Reorder the terms: (1 + x)(3 + x)(3 + x)(x + 4) + 8 = 0 Reorder the terms: (1 + x)(3 + x)(3 + x)(4 + x) + 8 = 0 Multiply (1 + x) * (3 + x) (1(3 + x) + x(3 + x))(3 + x)(4 + x) + 8 = 0 ((3 * 1 + x * 1) + x(3 + x))(3 + x)(4 + x) + 8 = 0 ((3 + 1x) + x(3 + x))(3 + x)(4 + x) + 8 = 0 (3 + 1x + (3 * x + x * x))(3 + x)(4 + x) + 8 = 0 (3 + 1x + (3x + x2))(3 + x)(4 + x) + 8 = 0 Combine like terms: 1x + 3x = 4x (3 + 4x + x2)(3 + x)(4 + x) + 8 = 0 Multiply (3 + 4x + x2) * (3 + x) (3(3 + x) + 4x * (3 + x) + x2(3 + x))(4 + x) + 8 = 0 ((3 * 3 + x * 3) + 4x * (3 + x) + x2(3 + x))(4 + x) + 8 = 0 ((9 + 3x) + 4x * (3 + x) + x2(3 + x))(4 + x) + 8 = 0 (9 + 3x + (3 * 4x + x * 4x) + x2(3 + x))(4 + x) + 8 = 0 (9 + 3x + (12x + 4x2) + x2(3 + x))(4 + x) + 8 = 0 (9 + 3x + 12x + 4x2 + (3 * x2 + x * x2))(4 + x) + 8 = 0 (9 + 3x + 12x + 4x2 + (3x2 + x3))(4 + x) + 8 = 0 Combine like terms: 3x + 12x = 15x (9 + 15x + 4x2 + 3x2 + x3)(4 + x) + 8 = 0 Combine like terms: 4x2 + 3x2 = 7x2 (9 + 15x + 7x2 + x3)(4 + x) + 8 = 0 Multiply (9 + 15x + 7x2 + x3) * (4 + x) (9(4 + x) + 15x * (4 + x) + 7x2 * (4 + x) + x3(4 + x)) + 8 = 0 ((4 * 9 + x * 9) + 15x * (4 + x) + 7x2 * (4 + x) + x3(4 + x)) + 8 = 0 ((36 + 9x) + 15x * (4 + x) + 7x2 * (4 + x) + x3(4 + x)) + 8 = 0 (36 + 9x + (4 * 15x + x * 15x) + 7x2 * (4 + x) + x3(4 + x)) + 8 = 0 (36 + 9x + (60x + 15x2) + 7x2 * (4 + x) + x3(4 + x)) + 8 = 0 (36 + 9x + 60x + 15x2 + (4 * 7x2 + x * 7x2) + x3(4 + x)) + 8 = 0 (36 + 9x + 60x + 15x2 + (28x2 + 7x3) + x3(4 + x)) + 8 = 0 (36 + 9x + 60x + 15x2 + 28x2 + 7x3 + (4 * x3 + x * x3)) + 8 = 0 (36 + 9x + 60x + 15x2 + 28x2 + 7x3 + (4x3 + x4)) + 8 = 0 Combine like terms: 9x + 60x = 69x (36 + 69x + 15x2 + 28x2 + 7x3 + 4x3 + x4) + 8 = 0 Combine like terms: 15x2 + 28x2 = 43x2 (36 + 69x + 43x2 + 7x3 + 4x3 + x4) + 8 = 0 Combine like terms: 7x3 + 4x3 = 11x3 (36 + 69x + 43x2 + 11x3 + x4) + 8 = 0 Reorder the terms: 36 + 8 + 69x + 43x2 + 11x3 + x4 = 0 Combine like terms: 36 + 8 = 44 44 + 69x + 43x2 + 11x3 + x4 = 0 Solving 44 + 69x + 43x2 + 11x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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