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Simplifying 3(6 + -1x) + -1(2x + 3) = 5 + 5(x + -8) (6 * 3 + -1x * 3) + -1(2x + 3) = 5 + 5(x + -8) (18 + -3x) + -1(2x + 3) = 5 + 5(x + -8) Reorder the terms: 18 + -3x + -1(3 + 2x) = 5 + 5(x + -8) 18 + -3x + (3 * -1 + 2x * -1) = 5 + 5(x + -8) 18 + -3x + (-3 + -2x) = 5 + 5(x + -8) Reorder the terms: 18 + -3 + -3x + -2x = 5 + 5(x + -8) Combine like terms: 18 + -3 = 15 15 + -3x + -2x = 5 + 5(x + -8) Combine like terms: -3x + -2x = -5x 15 + -5x = 5 + 5(x + -8) Reorder the terms: 15 + -5x = 5 + 5(-8 + x) 15 + -5x = 5 + (-8 * 5 + x * 5) 15 + -5x = 5 + (-40 + 5x) Combine like terms: 5 + -40 = -35 15 + -5x = -35 + 5x Solving 15 + -5x = -35 + 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. 15 + -5x + -5x = -35 + 5x + -5x Combine like terms: -5x + -5x = -10x 15 + -10x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -10x = -35 + 0 15 + -10x = -35 Add '-15' to each side of the equation. 15 + -15 + -10x = -35 + -15 Combine like terms: 15 + -15 = 0 0 + -10x = -35 + -15 -10x = -35 + -15 Combine like terms: -35 + -15 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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