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Simplifying (5 + x)(6 + x)(8 + x) = 480 Multiply (5 + x) * (6 + x) (5(6 + x) + x(6 + x))(8 + x) = 480 ((6 * 5 + x * 5) + x(6 + x))(8 + x) = 480 ((30 + 5x) + x(6 + x))(8 + x) = 480 (30 + 5x + (6 * x + x * x))(8 + x) = 480 (30 + 5x + (6x + x2))(8 + x) = 480 Combine like terms: 5x + 6x = 11x (30 + 11x + x2)(8 + x) = 480 Multiply (30 + 11x + x2) * (8 + x) (30(8 + x) + 11x * (8 + x) + x2(8 + x)) = 480 ((8 * 30 + x * 30) + 11x * (8 + x) + x2(8 + x)) = 480 ((240 + 30x) + 11x * (8 + x) + x2(8 + x)) = 480 (240 + 30x + (8 * 11x + x * 11x) + x2(8 + x)) = 480 (240 + 30x + (88x + 11x2) + x2(8 + x)) = 480 (240 + 30x + 88x + 11x2 + (8 * x2 + x * x2)) = 480 (240 + 30x + 88x + 11x2 + (8x2 + x3)) = 480 Combine like terms: 30x + 88x = 118x (240 + 118x + 11x2 + 8x2 + x3) = 480 Combine like terms: 11x2 + 8x2 = 19x2 (240 + 118x + 19x2 + x3) = 480 Solving 240 + 118x + 19x2 + x3 = 480 Solving for variable 'x'. Reorder the terms: 240 + -480 + 118x + 19x2 + x3 = 480 + -480 Combine like terms: 240 + -480 = -240 -240 + 118x + 19x2 + x3 = 480 + -480 Combine like terms: 480 + -480 = 0 -240 + 118x + 19x2 + x3 = 0 The solution to this equation could not be determined.
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