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Simplifying (x + 7)(x + 6)(x + 5) = 180 Reorder the terms: (7 + x)(x + 6)(x + 5) = 180 Reorder the terms: (7 + x)(6 + x)(x + 5) = 180 Reorder the terms: (7 + x)(6 + x)(5 + x) = 180 Multiply (7 + x) * (6 + x) (7(6 + x) + x(6 + x))(5 + x) = 180 ((6 * 7 + x * 7) + x(6 + x))(5 + x) = 180 ((42 + 7x) + x(6 + x))(5 + x) = 180 (42 + 7x + (6 * x + x * x))(5 + x) = 180 (42 + 7x + (6x + x2))(5 + x) = 180 Combine like terms: 7x + 6x = 13x (42 + 13x + x2)(5 + x) = 180 Multiply (42 + 13x + x2) * (5 + x) (42(5 + x) + 13x * (5 + x) + x2(5 + x)) = 180 ((5 * 42 + x * 42) + 13x * (5 + x) + x2(5 + x)) = 180 ((210 + 42x) + 13x * (5 + x) + x2(5 + x)) = 180 (210 + 42x + (5 * 13x + x * 13x) + x2(5 + x)) = 180 (210 + 42x + (65x + 13x2) + x2(5 + x)) = 180 (210 + 42x + 65x + 13x2 + (5 * x2 + x * x2)) = 180 (210 + 42x + 65x + 13x2 + (5x2 + x3)) = 180 Combine like terms: 42x + 65x = 107x (210 + 107x + 13x2 + 5x2 + x3) = 180 Combine like terms: 13x2 + 5x2 = 18x2 (210 + 107x + 18x2 + x3) = 180 Solving 210 + 107x + 18x2 + x3 = 180 Solving for variable 'x'. Reorder the terms: 210 + -180 + 107x + 18x2 + x3 = 180 + -180 Combine like terms: 210 + -180 = 30 30 + 107x + 18x2 + x3 = 180 + -180 Combine like terms: 180 + -180 = 0 30 + 107x + 18x2 + x3 = 0 The solution to this equation could not be determined.
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