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Simplifying 0.5(x + 40) + 0.1x = 29 Reorder the terms: 0.5(40 + x) + 0.1x = 29 (40 * 0.5 + x * 0.5) + 0.1x = 29 (20 + 0.5x) + 0.1x = 29 Combine like terms: 0.5x + 0.1x = 0.6x 20 + 0.6x = 29 Solving 20 + 0.6x = 29 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 + 0.6x = 29 + -20 Combine like terms: 20 + -20 = 0 0 + 0.6x = 29 + -20 0.6x = 29 + -20 Combine like terms: 29 + -20 = 9 0.6x = 9 Divide each side by '0.6'. x = 15 Simplifying x = 15
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