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Simplifying 15 + -1(6x(2 + a) + -1(5x + -3)(2 + -1a)) = (x + -2)(3 + -4a) + -7a 15 + -1((2 * 6x + a * 6x) + -1(5x + -3)(2 + -1a)) = (x + -2)(3 + -4a) + -7a Reorder the terms: 15 + -1((6ax + 12x) + -1(5x + -3)(2 + -1a)) = (x + -2)(3 + -4a) + -7a 15 + -1((6ax + 12x) + -1(5x + -3)(2 + -1a)) = (x + -2)(3 + -4a) + -7a Reorder the terms: 15 + -1(6ax + 12x + -1(-3 + 5x)(2 + -1a)) = (x + -2)(3 + -4a) + -7a Multiply (-3 + 5x) * (2 + -1a) 15 + -1(6ax + 12x + -1(-3(2 + -1a) + 5x * (2 + -1a))) = (x + -2)(3 + -4a) + -7a 15 + -1(6ax + 12x + -1((2 * -3 + -1a * -3) + 5x * (2 + -1a))) = (x + -2)(3 + -4a) + -7a 15 + -1(6ax + 12x + -1((-6 + 3a) + 5x * (2 + -1a))) = (x + -2)(3 + -4a) + -7a 15 + -1(6ax + 12x + -1(-6 + 3a + (2 * 5x + -1a * 5x))) = (x + -2)(3 + -4a) + -7a Reorder the terms: 15 + -1(6ax + 12x + -1(-6 + 3a + (-5ax + 10x))) = (x + -2)(3 + -4a) + -7a 15 + -1(6ax + 12x + -1(-6 + 3a + (-5ax + 10x))) = (x + -2)(3 + -4a) + -7a 15 + -1(6ax + 12x + -1(-6 + 3a + -5ax + 10x)) = (x + -2)(3 + -4a) + -7a 15 + -1(6ax + 12x + (-6 * -1 + 3a * -1 + -5ax * -1 + 10x * -1)) = (x + -2)(3 + -4a) + -7a 15 + -1(6ax + 12x + (6 + -3a + 5ax + -10x)) = (x + -2)(3 + -4a) + -7a Reorder the terms: 15 + -1(6 + -3a + 6ax + 5ax + 12x + -10x) = (x + -2)(3 + -4a) + -7a Combine like terms: 6ax + 5ax = 11ax 15 + -1(6 + -3a + 11ax + 12x + -10x) = (x + -2)(3 + -4a) + -7a Combine like terms: 12x + -10x = 2x 15 + -1(6 + -3a + 11ax + 2x) = (x + -2)(3 + -4a) + -7a 15 + (6 * -1 + -3a * -1 + 11ax * -1 + 2x * -1) = (x + -2)(3 + -4a) + -7a 15 + (-6 + 3a + -11ax + -2x) = (x + -2)(3 + -4a) + -7a Combine like terms: 15 + -6 = 9 9 + 3a + -11ax + -2x = (x + -2)(3 + -4a) + -7a Reorder the terms: 9 + 3a + -11ax + -2x = (-2 + x)(3 + -4a) + -7a Multiply (-2 + x) * (3 + -4a) 9 + 3a + -11ax + -2x = (-2(3 + -4a) + x(3 + -4a)) + -7a 9 + 3a + -11ax + -2x = ((3 * -2 + -4a * -2) + x(3 + -4a)) + -7a 9 + 3a + -11ax + -2x = ((-6 + 8a) + x(3 + -4a)) + -7a 9 + 3a + -11ax + -2x = (-6 + 8a + (3 * x + -4a * x)) + -7a Reorder the terms: 9 + 3a + -11ax + -2x = (-6 + 8a + (-4ax + 3x)) + -7a 9 + 3a + -11ax + -2x = (-6 + 8a + (-4ax + 3x)) + -7a 9 + 3a + -11ax + -2x = (-6 + 8a + -4ax + 3x) + -7a Reorder the terms: 9 + 3a + -11ax + -2x = -6 + 8a + -7a + -4ax + 3x Combine like terms: 8a + -7a = 1a 9 + 3a + -11ax + -2x = -6 + 1a + -4ax + 3x Solving 9 + 3a + -11ax + -2x = -6 + 1a + -4ax + 3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 9 + 3a + -11ax + -1a + -2x = -6 + 1a + -4ax + -1a + 3x Reorder the terms: 9 + 3a + -1a + -11ax + -2x = -6 + 1a + -4ax + -1a + 3x Combine like terms: 3a + -1a = 2a 9 + 2a + -11ax + -2x = -6 + 1a + -4ax + -1a + 3x Reorder the terms: 9 + 2a + -11ax + -2x = -6 + 1a + -1a + -4ax + 3x Combine like terms: 1a + -1a = 0 9 + 2a + -11ax + -2x = -6 + 0 + -4ax + 3x 9 + 2a + -11ax + -2x = -6 + -4ax + 3x Add '4ax' to each side of the equation. 9 + 2a + -11ax + 4ax + -2x = -6 + -4ax + 4ax + 3x Combine like terms: -11ax + 4ax = -7ax 9 + 2a + -7ax + -2x = -6 + -4ax + 4ax + 3x Combine like terms: -4ax + 4ax = 0 9 + 2a + -7ax + -2x = -6 + 0 + 3x 9 + 2a + -7ax + -2x = -6 + 3x Add '-9' to each side of the equation. 9 + 2a + -7ax + -9 + -2x = -6 + -9 + 3x Reorder the terms: 9 + -9 + 2a + -7ax + -2x = -6 + -9 + 3x Combine like terms: 9 + -9 = 0 0 + 2a + -7ax + -2x = -6 + -9 + 3x 2a + -7ax + -2x = -6 + -9 + 3x Combine like terms: -6 + -9 = -15 2a + -7ax + -2x = -15 + 3x Add '2x' to each side of the equation. 2a + -7ax + -2x + 2x = -15 + 3x + 2x Combine like terms: -2x + 2x = 0 2a + -7ax + 0 = -15 + 3x + 2x 2a + -7ax = -15 + 3x + 2x Combine like terms: 3x + 2x = 5x 2a + -7ax = -15 + 5x Reorder the terms: 15 + 2a + -7ax + -5x = -15 + 5x + 15 + -5x Reorder the terms: 15 + 2a + -7ax + -5x = -15 + 15 + 5x + -5x Combine like terms: -15 + 15 = 0 15 + 2a + -7ax + -5x = 0 + 5x + -5x 15 + 2a + -7ax + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 15 + 2a + -7ax + -5x = 0 The solution to this equation could not be determined.
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