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Simplifying 0.5(x + 50) + 0.1x = 34 Reorder the terms: 0.5(50 + x) + 0.1x = 34 (50 * 0.5 + x * 0.5) + 0.1x = 34 (25 + 0.5x) + 0.1x = 34 Combine like terms: 0.5x + 0.1x = 0.6x 25 + 0.6x = 34 Solving 25 + 0.6x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 0.6x = 34 + -25 Combine like terms: 25 + -25 = 0 0 + 0.6x = 34 + -25 0.6x = 34 + -25 Combine like terms: 34 + -25 = 9 0.6x = 9 Divide each side by '0.6'. x = 15 Simplifying x = 15
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