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Simplifying (2 + -3x)(4 + 6x + 9) + 3x(3x + -1)(3x + 1) = x Reorder the terms: (2 + -3x)(4 + 9 + 6x) + 3x(3x + -1)(3x + 1) = x Combine like terms: 4 + 9 = 13 (2 + -3x)(13 + 6x) + 3x(3x + -1)(3x + 1) = x Multiply (2 + -3x) * (13 + 6x) (2(13 + 6x) + -3x * (13 + 6x)) + 3x(3x + -1)(3x + 1) = x ((13 * 2 + 6x * 2) + -3x * (13 + 6x)) + 3x(3x + -1)(3x + 1) = x ((26 + 12x) + -3x * (13 + 6x)) + 3x(3x + -1)(3x + 1) = x (26 + 12x + (13 * -3x + 6x * -3x)) + 3x(3x + -1)(3x + 1) = x (26 + 12x + (-39x + -18x2)) + 3x(3x + -1)(3x + 1) = x Combine like terms: 12x + -39x = -27x (26 + -27x + -18x2) + 3x(3x + -1)(3x + 1) = x Reorder the terms: 26 + -27x + -18x2 + 3x(-1 + 3x)(3x + 1) = x Reorder the terms: 26 + -27x + -18x2 + 3x(-1 + 3x)(1 + 3x) = x Multiply (-1 + 3x) * (1 + 3x) 26 + -27x + -18x2 + 3x(-1(1 + 3x) + 3x * (1 + 3x)) = x 26 + -27x + -18x2 + 3x((1 * -1 + 3x * -1) + 3x * (1 + 3x)) = x 26 + -27x + -18x2 + 3x((-1 + -3x) + 3x * (1 + 3x)) = x 26 + -27x + -18x2 + 3x(-1 + -3x + (1 * 3x + 3x * 3x)) = x 26 + -27x + -18x2 + 3x(-1 + -3x + (3x + 9x2)) = x Combine like terms: -3x + 3x = 0 26 + -27x + -18x2 + 3x(-1 + 0 + 9x2) = x 26 + -27x + -18x2 + 3x(-1 + 9x2) = x 26 + -27x + -18x2 + (-1 * 3x + 9x2 * 3x) = x 26 + -27x + -18x2 + (-3x + 27x3) = x Reorder the terms: 26 + -27x + -3x + -18x2 + 27x3 = x Combine like terms: -27x + -3x = -30x 26 + -30x + -18x2 + 27x3 = x Solving 26 + -30x + -18x2 + 27x3 = x Solving for variable 'x'. Reorder the terms: 26 + -30x + -1x + -18x2 + 27x3 = x + -1x Combine like terms: -30x + -1x = -31x 26 + -31x + -18x2 + 27x3 = x + -1x Combine like terms: x + -1x = 0 26 + -31x + -18x2 + 27x3 = 0 The solution to this equation could not be determined.
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