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Simplifying 0.40(200 + x) = 900 (200 * 0.40 + x * 0.40) = 900 (80 + 0.40x) = 900 Solving 80 + 0.40x = 900 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 0.40x = 900 + -80 Combine like terms: 80 + -80 = 0 0 + 0.40x = 900 + -80 0.40x = 900 + -80 Combine like terms: 900 + -80 = 820 0.40x = 820 Divide each side by '0.40'. x = 2050 Simplifying x = 2050
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