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Simplifying 0.2(100 + x) = 50 (100 * 0.2 + x * 0.2) = 50 (20 + 0.2x) = 50 Solving 20 + 0.2x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 0.2x = 50 + -20 Combine like terms: 20 + -20 = 0 0 + 0.2x = 50 + -20 0.2x = 50 + -20 Combine like terms: 50 + -20 = 30 0.2x = 30 Divide each side by '0.2'. x = 150 Simplifying x = 150
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