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Simplifying 0.20x + 160 = 0.50(200 + x) Reorder the terms: 160 + 0.20x = 0.50(200 + x) 160 + 0.20x = (200 * 0.50 + x * 0.50) 160 + 0.20x = (100 + 0.50x) Solving 160 + 0.20x = 100 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 160 + 0.20x + -0.50x = 100 + 0.50x + -0.50x Combine like terms: 0.20x + -0.50x = -0.3x 160 + -0.3x = 100 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 160 + -0.3x = 100 + 0.00 160 + -0.3x = 100 Add '-160' to each side of the equation. 160 + -160 + -0.3x = 100 + -160 Combine like terms: 160 + -160 = 0 0 + -0.3x = 100 + -160 -0.3x = 100 + -160 Combine like terms: 100 + -160 = -60 -0.3x = -60 Divide each side by '-0.3'. x = 200 Simplifying x = 200
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