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Simplifying 0.1(x + 10) + 0.5x = 10 Reorder the terms: 0.1(10 + x) + 0.5x = 10 (10 * 0.1 + x * 0.1) + 0.5x = 10 (1 + 0.1x) + 0.5x = 10 Combine like terms: 0.1x + 0.5x = 0.6x 1 + 0.6x = 10 Solving 1 + 0.6x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.6x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 0.6x = 10 + -1 0.6x = 10 + -1 Combine like terms: 10 + -1 = 9 0.6x = 9 Divide each side by '0.6'. x = 15 Simplifying x = 15
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