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Simplifying 14 + -1(5x + -1)(2x + 3) = -1(10x + 1)(x + -6) Reorder the terms: 14 + -1(-1 + 5x)(2x + 3) = -1(10x + 1)(x + -6) Reorder the terms: 14 + -1(-1 + 5x)(3 + 2x) = -1(10x + 1)(x + -6) Multiply (-1 + 5x) * (3 + 2x) 14 + -1(-1(3 + 2x) + 5x * (3 + 2x)) = -1(10x + 1)(x + -6) 14 + -1((3 * -1 + 2x * -1) + 5x * (3 + 2x)) = -1(10x + 1)(x + -6) 14 + -1((-3 + -2x) + 5x * (3 + 2x)) = -1(10x + 1)(x + -6) 14 + -1(-3 + -2x + (3 * 5x + 2x * 5x)) = -1(10x + 1)(x + -6) 14 + -1(-3 + -2x + (15x + 10x2)) = -1(10x + 1)(x + -6) Combine like terms: -2x + 15x = 13x 14 + -1(-3 + 13x + 10x2) = -1(10x + 1)(x + -6) 14 + (-3 * -1 + 13x * -1 + 10x2 * -1) = -1(10x + 1)(x + -6) 14 + (3 + -13x + -10x2) = -1(10x + 1)(x + -6) Combine like terms: 14 + 3 = 17 17 + -13x + -10x2 = -1(10x + 1)(x + -6) Reorder the terms: 17 + -13x + -10x2 = -1(1 + 10x)(x + -6) Reorder the terms: 17 + -13x + -10x2 = -1(1 + 10x)(-6 + x) Multiply (1 + 10x) * (-6 + x) 17 + -13x + -10x2 = -1(1(-6 + x) + 10x * (-6 + x)) 17 + -13x + -10x2 = -1((-6 * 1 + x * 1) + 10x * (-6 + x)) 17 + -13x + -10x2 = -1((-6 + 1x) + 10x * (-6 + x)) 17 + -13x + -10x2 = -1(-6 + 1x + (-6 * 10x + x * 10x)) 17 + -13x + -10x2 = -1(-6 + 1x + (-60x + 10x2)) Combine like terms: 1x + -60x = -59x 17 + -13x + -10x2 = -1(-6 + -59x + 10x2) 17 + -13x + -10x2 = (-6 * -1 + -59x * -1 + 10x2 * -1) 17 + -13x + -10x2 = (6 + 59x + -10x2) Add '10x2' to each side of the equation. 17 + -13x + -10x2 + 10x2 = 6 + 59x + -10x2 + 10x2 Combine like terms: -10x2 + 10x2 = 0 17 + -13x + 0 = 6 + 59x + -10x2 + 10x2 17 + -13x = 6 + 59x + -10x2 + 10x2 Combine like terms: -10x2 + 10x2 = 0 17 + -13x = 6 + 59x + 0 17 + -13x = 6 + 59x Solving 17 + -13x = 6 + 59x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-59x' to each side of the equation. 17 + -13x + -59x = 6 + 59x + -59x Combine like terms: -13x + -59x = -72x 17 + -72x = 6 + 59x + -59x Combine like terms: 59x + -59x = 0 17 + -72x = 6 + 0 17 + -72x = 6 Add '-17' to each side of the equation. 17 + -17 + -72x = 6 + -17 Combine like terms: 17 + -17 = 0 0 + -72x = 6 + -17 -72x = 6 + -17 Combine like terms: 6 + -17 = -11 -72x = -11 Divide each side by '-72'. x = 0.1527777778 Simplifying x = 0.1527777778
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