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Simplifying x + 20 = 0.20(200 + x) Reorder the terms: 20 + x = 0.20(200 + x) 20 + x = (200 * 0.20 + x * 0.20) 20 + x = (40 + 0.20x) Solving 20 + x = 40 + 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 + x + -0.20x = 40 + 0.20x + -0.20x Combine like terms: x + -0.20x = 0.8x 20 + 0.8x = 40 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 20 + 0.8x = 40 + 0.00 20 + 0.8x = 40 Add '-20' to each side of the equation. 20 + -20 + 0.8x = 40 + -20 Combine like terms: 20 + -20 = 0 0 + 0.8x = 40 + -20 0.8x = 40 + -20 Combine like terms: 40 + -20 = 20 0.8x = 20 Divide each side by '0.8'. x = 25 Simplifying x = 25
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