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Simplifying (5x + -1)(2x + 3) = 17 + (10x + 1)(x + -6) Reorder the terms: (-1 + 5x)(2x + 3) = 17 + (10x + 1)(x + -6) Reorder the terms: (-1 + 5x)(3 + 2x) = 17 + (10x + 1)(x + -6) Multiply (-1 + 5x) * (3 + 2x) (-1(3 + 2x) + 5x * (3 + 2x)) = 17 + (10x + 1)(x + -6) ((3 * -1 + 2x * -1) + 5x * (3 + 2x)) = 17 + (10x + 1)(x + -6) ((-3 + -2x) + 5x * (3 + 2x)) = 17 + (10x + 1)(x + -6) (-3 + -2x + (3 * 5x + 2x * 5x)) = 17 + (10x + 1)(x + -6) (-3 + -2x + (15x + 10x2)) = 17 + (10x + 1)(x + -6) Combine like terms: -2x + 15x = 13x (-3 + 13x + 10x2) = 17 + (10x + 1)(x + -6) Reorder the terms: -3 + 13x + 10x2 = 17 + (1 + 10x)(x + -6) Reorder the terms: -3 + 13x + 10x2 = 17 + (1 + 10x)(-6 + x) Multiply (1 + 10x) * (-6 + x) -3 + 13x + 10x2 = 17 + (1(-6 + x) + 10x * (-6 + x)) -3 + 13x + 10x2 = 17 + ((-6 * 1 + x * 1) + 10x * (-6 + x)) -3 + 13x + 10x2 = 17 + ((-6 + 1x) + 10x * (-6 + x)) -3 + 13x + 10x2 = 17 + (-6 + 1x + (-6 * 10x + x * 10x)) -3 + 13x + 10x2 = 17 + (-6 + 1x + (-60x + 10x2)) Combine like terms: 1x + -60x = -59x -3 + 13x + 10x2 = 17 + (-6 + -59x + 10x2) Combine like terms: 17 + -6 = 11 -3 + 13x + 10x2 = 11 + -59x + 10x2 Add '-10x2' to each side of the equation. -3 + 13x + 10x2 + -10x2 = 11 + -59x + 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -3 + 13x + 0 = 11 + -59x + 10x2 + -10x2 -3 + 13x = 11 + -59x + 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -3 + 13x = 11 + -59x + 0 -3 + 13x = 11 + -59x Solving -3 + 13x = 11 + -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. -3 + 13x + 59x = 11 + -59x + 59x Combine like terms: 13x + 59x = 72x -3 + 72x = 11 + -59x + 59x Combine like terms: -59x + 59x = 0 -3 + 72x = 11 + 0 -3 + 72x = 11 Add '3' to each side of the equation. -3 + 3 + 72x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 72x = 11 + 3 72x = 11 + 3 Combine like terms: 11 + 3 = 14 72x = 14 Divide each side by '72'. x = 0.1944444444 Simplifying x = 0.1944444444
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