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Simplifying -2(5x + -8) + 2 + -4(3x + -5) = 5x + -6 Reorder the terms: -2(-8 + 5x) + 2 + -4(3x + -5) = 5x + -6 (-8 * -2 + 5x * -2) + 2 + -4(3x + -5) = 5x + -6 (16 + -10x) + 2 + -4(3x + -5) = 5x + -6 Reorder the terms: 16 + -10x + 2 + -4(-5 + 3x) = 5x + -6 16 + -10x + 2 + (-5 * -4 + 3x * -4) = 5x + -6 16 + -10x + 2 + (20 + -12x) = 5x + -6 Reorder the terms: 16 + 2 + 20 + -10x + -12x = 5x + -6 Combine like terms: 16 + 2 = 18 18 + 20 + -10x + -12x = 5x + -6 Combine like terms: 18 + 20 = 38 38 + -10x + -12x = 5x + -6 Combine like terms: -10x + -12x = -22x 38 + -22x = 5x + -6 Reorder the terms: 38 + -22x = -6 + 5x Solving 38 + -22x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 38 + -22x + -5x = -6 + 5x + -5x Combine like terms: -22x + -5x = -27x 38 + -27x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 38 + -27x = -6 + 0 38 + -27x = -6 Add '-38' to each side of the equation. 38 + -38 + -27x = -6 + -38 Combine like terms: 38 + -38 = 0 0 + -27x = -6 + -38 -27x = -6 + -38 Combine like terms: -6 + -38 = -44 -27x = -44 Divide each side by '-27'. x = 1.62962963 Simplifying x = 1.62962963
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