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Simplifying -1.00(20) + 0.50x = 0.20(20 + x) Multiply -1.00 * 20 -20 + 0.50x = 0.20(20 + x) -20 + 0.50x = (20 * 0.20 + x * 0.20) -20 + 0.50x = (4 + 0.20x) Solving -20 + 0.50x = 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. -20 + 0.50x + -0.20x = 4 + 0.20x + -0.20x Combine like terms: 0.50x + -0.20x = 0.3x -20 + 0.3x = 4 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 -20 + 0.3x = 4 + 0.00 -20 + 0.3x = 4 Add '20' to each side of the equation. -20 + 20 + 0.3x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 0.3x = 4 + 20 0.3x = 4 + 20 Combine like terms: 4 + 20 = 24 0.3x = 24 Divide each side by '0.3'. x = 80 Simplifying x = 80
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