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Simplifying 8x + 7((3x + -2) + -6(4x + -2)) + -3x = 5((3x + -4) + 5) Reorder the terms: 8x + 7((-2 + 3x) + -6(4x + -2)) + -3x = 5((3x + -4) + 5) Remove parenthesis around (-2 + 3x) 8x + 7(-2 + 3x + -6(4x + -2)) + -3x = 5((3x + -4) + 5) Reorder the terms: 8x + 7(-2 + 3x + -6(-2 + 4x)) + -3x = 5((3x + -4) + 5) 8x + 7(-2 + 3x + (-2 * -6 + 4x * -6)) + -3x = 5((3x + -4) + 5) 8x + 7(-2 + 3x + (12 + -24x)) + -3x = 5((3x + -4) + 5) Reorder the terms: 8x + 7(-2 + 12 + 3x + -24x) + -3x = 5((3x + -4) + 5) Combine like terms: -2 + 12 = 10 8x + 7(10 + 3x + -24x) + -3x = 5((3x + -4) + 5) Combine like terms: 3x + -24x = -21x 8x + 7(10 + -21x) + -3x = 5((3x + -4) + 5) 8x + (10 * 7 + -21x * 7) + -3x = 5((3x + -4) + 5) 8x + (70 + -147x) + -3x = 5((3x + -4) + 5) Reorder the terms: 70 + 8x + -147x + -3x = 5((3x + -4) + 5) Combine like terms: 8x + -147x = -139x 70 + -139x + -3x = 5((3x + -4) + 5) Combine like terms: -139x + -3x = -142x 70 + -142x = 5((3x + -4) + 5) Reorder the terms: 70 + -142x = 5((-4 + 3x) + 5) Remove parenthesis around (-4 + 3x) 70 + -142x = 5(-4 + 3x + 5) Reorder the terms: 70 + -142x = 5(-4 + 5 + 3x) Combine like terms: -4 + 5 = 1 70 + -142x = 5(1 + 3x) 70 + -142x = (1 * 5 + 3x * 5) 70 + -142x = (5 + 15x) Solving 70 + -142x = 5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 70 + -142x + -15x = 5 + 15x + -15x Combine like terms: -142x + -15x = -157x 70 + -157x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 70 + -157x = 5 + 0 70 + -157x = 5 Add '-70' to each side of the equation. 70 + -70 + -157x = 5 + -70 Combine like terms: 70 + -70 = 0 0 + -157x = 5 + -70 -157x = 5 + -70 Combine like terms: 5 + -70 = -65 -157x = -65 Divide each side by '-157'. x = 0.4140127389 Simplifying x = 0.4140127389
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