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Simplifying 0.1(x + 80) + 0.5x = 17 Reorder the terms: 0.1(80 + x) + 0.5x = 17 (80 * 0.1 + x * 0.1) + 0.5x = 17 (8 + 0.1x) + 0.5x = 17 Combine like terms: 0.1x + 0.5x = 0.6x 8 + 0.6x = 17 Solving 8 + 0.6x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 0.6x = 17 + -8 Combine like terms: 8 + -8 = 0 0 + 0.6x = 17 + -8 0.6x = 17 + -8 Combine like terms: 17 + -8 = 9 0.6x = 9 Divide each side by '0.6'. x = 15 Simplifying x = 15
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