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Simplifying 0.5(10x + -20) = 0.25(8x + 20) Reorder the terms: 0.5(-20 + 10x) = 0.25(8x + 20) (-20 * 0.5 + 10x * 0.5) = 0.25(8x + 20) (-10 + 5x) = 0.25(8x + 20) Reorder the terms: -10 + 5x = 0.25(20 + 8x) -10 + 5x = (20 * 0.25 + 8x * 0.25) -10 + 5x = (5 + 2x) Solving -10 + 5x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 5x + -2x = 5 + 2x + -2x Combine like terms: 5x + -2x = 3x -10 + 3x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 3x = 5 + 0 -10 + 3x = 5 Add '10' to each side of the equation. -10 + 10 + 3x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 5 + 10 3x = 5 + 10 Combine like terms: 5 + 10 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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