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Simplifying 0.2(x + 100) + 0.2x = 24 Reorder the terms: 0.2(100 + x) + 0.2x = 24 (100 * 0.2 + x * 0.2) + 0.2x = 24 (20 + 0.2x) + 0.2x = 24 Combine like terms: 0.2x + 0.2x = 0.4x 20 + 0.4x = 24 Solving 20 + 0.4x = 24 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 + 0.4x = 24 + -20 Combine like terms: 20 + -20 = 0 0 + 0.4x = 24 + -20 0.4x = 24 + -20 Combine like terms: 24 + -20 = 4 0.4x = 4 Divide each side by '0.4'. x = 10 Simplifying x = 10
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