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Simplifying -5(3x + -6) + 2x = 5(x + 8) Reorder the terms: -5(-6 + 3x) + 2x = 5(x + 8) (-6 * -5 + 3x * -5) + 2x = 5(x + 8) (30 + -15x) + 2x = 5(x + 8) Combine like terms: -15x + 2x = -13x 30 + -13x = 5(x + 8) Reorder the terms: 30 + -13x = 5(8 + x) 30 + -13x = (8 * 5 + x * 5) 30 + -13x = (40 + 5x) Solving 30 + -13x = 40 + 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. 30 + -13x + -5x = 40 + 5x + -5x Combine like terms: -13x + -5x = -18x 30 + -18x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + -18x = 40 + 0 30 + -18x = 40 Add '-30' to each side of the equation. 30 + -30 + -18x = 40 + -30 Combine like terms: 30 + -30 = 0 0 + -18x = 40 + -30 -18x = 40 + -30 Combine like terms: 40 + -30 = 10 -18x = 10 Divide each side by '-18'. x = -0.5555555556 Simplifying x = -0.5555555556
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