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Simplifying 0.1(x + 20) + 0.5x = 11 Reorder the terms: 0.1(20 + x) + 0.5x = 11 (20 * 0.1 + x * 0.1) + 0.5x = 11 (2 + 0.1x) + 0.5x = 11 Combine like terms: 0.1x + 0.5x = 0.6x 2 + 0.6x = 11 Solving 2 + 0.6x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 0.6x = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 0.6x = 11 + -2 0.6x = 11 + -2 Combine like terms: 11 + -2 = 9 0.6x = 9 Divide each side by '0.6'. x = 15 Simplifying x = 15
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