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Simplifying 0.5(10x + 10) + -20 = -0.40(20x + -35) Reorder the terms: 0.5(10 + 10x) + -20 = -0.40(20x + -35) (10 * 0.5 + 10x * 0.5) + -20 = -0.40(20x + -35) (5 + 5x) + -20 = -0.40(20x + -35) Reorder the terms: 5 + -20 + 5x = -0.40(20x + -35) Combine like terms: 5 + -20 = -15 -15 + 5x = -0.40(20x + -35) Reorder the terms: -15 + 5x = -0.40(-35 + 20x) -15 + 5x = (-35 * -0.40 + 20x * -0.40) -15 + 5x = (14 + -8x) Solving -15 + 5x = 14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -15 + 5x + 8x = 14 + -8x + 8x Combine like terms: 5x + 8x = 13x -15 + 13x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 -15 + 13x = 14 + 0 -15 + 13x = 14 Add '15' to each side of the equation. -15 + 15 + 13x = 14 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 14 + 15 13x = 14 + 15 Combine like terms: 14 + 15 = 29 13x = 29 Divide each side by '13'. x = 2.230769231 Simplifying x = 2.230769231
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