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Simplifying 8x + -4((6x + -2) + -6(-5x + -2)) + -1(3x + 8) = 5((2x + -4) + 5) Reorder the terms: 8x + -4((-2 + 6x) + -6(-5x + -2)) + -1(3x + 8) = 5((2x + -4) + 5) Remove parenthesis around (-2 + 6x) 8x + -4(-2 + 6x + -6(-5x + -2)) + -1(3x + 8) = 5((2x + -4) + 5) Reorder the terms: 8x + -4(-2 + 6x + -6(-2 + -5x)) + -1(3x + 8) = 5((2x + -4) + 5) 8x + -4(-2 + 6x + (-2 * -6 + -5x * -6)) + -1(3x + 8) = 5((2x + -4) + 5) 8x + -4(-2 + 6x + (12 + 30x)) + -1(3x + 8) = 5((2x + -4) + 5) Reorder the terms: 8x + -4(-2 + 12 + 6x + 30x) + -1(3x + 8) = 5((2x + -4) + 5) Combine like terms: -2 + 12 = 10 8x + -4(10 + 6x + 30x) + -1(3x + 8) = 5((2x + -4) + 5) Combine like terms: 6x + 30x = 36x 8x + -4(10 + 36x) + -1(3x + 8) = 5((2x + -4) + 5) 8x + (10 * -4 + 36x * -4) + -1(3x + 8) = 5((2x + -4) + 5) 8x + (-40 + -144x) + -1(3x + 8) = 5((2x + -4) + 5) Reorder the terms: 8x + -40 + -144x + -1(8 + 3x) = 5((2x + -4) + 5) 8x + -40 + -144x + (8 * -1 + 3x * -1) = 5((2x + -4) + 5) 8x + -40 + -144x + (-8 + -3x) = 5((2x + -4) + 5) Reorder the terms: -40 + -8 + 8x + -144x + -3x = 5((2x + -4) + 5) Combine like terms: -40 + -8 = -48 -48 + 8x + -144x + -3x = 5((2x + -4) + 5) Combine like terms: 8x + -144x = -136x -48 + -136x + -3x = 5((2x + -4) + 5) Combine like terms: -136x + -3x = -139x -48 + -139x = 5((2x + -4) + 5) Reorder the terms: -48 + -139x = 5((-4 + 2x) + 5) Remove parenthesis around (-4 + 2x) -48 + -139x = 5(-4 + 2x + 5) Reorder the terms: -48 + -139x = 5(-4 + 5 + 2x) Combine like terms: -4 + 5 = 1 -48 + -139x = 5(1 + 2x) -48 + -139x = (1 * 5 + 2x * 5) -48 + -139x = (5 + 10x) Solving -48 + -139x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -48 + -139x + -10x = 5 + 10x + -10x Combine like terms: -139x + -10x = -149x -48 + -149x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -48 + -149x = 5 + 0 -48 + -149x = 5 Add '48' to each side of the equation. -48 + 48 + -149x = 5 + 48 Combine like terms: -48 + 48 = 0 0 + -149x = 5 + 48 -149x = 5 + 48 Combine like terms: 5 + 48 = 53 -149x = 53 Divide each side by '-149'. x = -0.355704698 Simplifying x = -0.355704698
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