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Simplifying 0.5(x + 30) + 0.1x = 24 Reorder the terms: 0.5(30 + x) + 0.1x = 24 (30 * 0.5 + x * 0.5) + 0.1x = 24 (15 + 0.5x) + 0.1x = 24 Combine like terms: 0.5x + 0.1x = 0.6x 15 + 0.6x = 24 Solving 15 + 0.6x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 0.6x = 24 + -15 Combine like terms: 15 + -15 = 0 0 + 0.6x = 24 + -15 0.6x = 24 + -15 Combine like terms: 24 + -15 = 9 0.6x = 9 Divide each side by '0.6'. x = 15 Simplifying x = 15
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