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Simplifying (7 + 6x2 + 6x3)(5x + 12(x + 1)) = 0 Reorder the terms: (7 + 6x2 + 6x3)(5x + 12(1 + x)) = 0 (7 + 6x2 + 6x3)(5x + (1 * 12 + x * 12)) = 0 (7 + 6x2 + 6x3)(5x + (12 + 12x)) = 0 Reorder the terms: (7 + 6x2 + 6x3)(12 + 5x + 12x) = 0 Combine like terms: 5x + 12x = 17x (7 + 6x2 + 6x3)(12 + 17x) = 0 Multiply (7 + 6x2 + 6x3) * (12 + 17x) (7(12 + 17x) + 6x2 * (12 + 17x) + 6x3 * (12 + 17x)) = 0 ((12 * 7 + 17x * 7) + 6x2 * (12 + 17x) + 6x3 * (12 + 17x)) = 0 ((84 + 119x) + 6x2 * (12 + 17x) + 6x3 * (12 + 17x)) = 0 (84 + 119x + (12 * 6x2 + 17x * 6x2) + 6x3 * (12 + 17x)) = 0 (84 + 119x + (72x2 + 102x3) + 6x3 * (12 + 17x)) = 0 (84 + 119x + 72x2 + 102x3 + (12 * 6x3 + 17x * 6x3)) = 0 (84 + 119x + 72x2 + 102x3 + (72x3 + 102x4)) = 0 Combine like terms: 102x3 + 72x3 = 174x3 (84 + 119x + 72x2 + 174x3 + 102x4) = 0 Solving 84 + 119x + 72x2 + 174x3 + 102x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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