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Simplifying -0.50(20) + 0.40x = 0.20(20 + x) Multiply -0.50 * 20 -10 + 0.40x = 0.20(20 + x) -10 + 0.40x = (20 * 0.20 + x * 0.20) -10 + 0.40x = (4 + 0.20x) Solving -10 + 0.40x = 4 + 0.20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.20x' to each side of the equation. -10 + 0.40x + -0.20x = 4 + 0.20x + -0.20x Combine like terms: 0.40x + -0.20x = 0.2x -10 + 0.2x = 4 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 -10 + 0.2x = 4 + 0.00 -10 + 0.2x = 4 Add '10' to each side of the equation. -10 + 10 + 0.2x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 0.2x = 4 + 10 0.2x = 4 + 10 Combine like terms: 4 + 10 = 14 0.2x = 14 Divide each side by '0.2'. x = 70 Simplifying x = 70
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