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Simplifying 0.20(100 + x) = 30 + 0.1x (100 * 0.20 + x * 0.20) = 30 + 0.1x (20 + 0.20x) = 30 + 0.1x Solving 20 + 0.20x = 30 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 20 + 0.20x + -0.1x = 30 + 0.1x + -0.1x Combine like terms: 0.20x + -0.1x = 0.1x 20 + 0.1x = 30 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 20 + 0.1x = 30 + 0.0 20 + 0.1x = 30 Add '-20' to each side of the equation. 20 + -20 + 0.1x = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 0.1x = 30 + -20 0.1x = 30 + -20 Combine like terms: 30 + -20 = 10 0.1x = 10 Divide each side by '0.1'. x = 100 Simplifying x = 100
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