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Simplifying 0.5(x + 20) + 0.1 = 19 Reorder the terms: 0.5(20 + x) + 0.1 = 19 (20 * 0.5 + x * 0.5) + 0.1 = 19 (10 + 0.5x) + 0.1 = 19 Reorder the terms: 10 + 0.1 + 0.5x = 19 Combine like terms: 10 + 0.1 = 10.1 10.1 + 0.5x = 19 Solving 10.1 + 0.5x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.1' to each side of the equation. 10.1 + -10.1 + 0.5x = 19 + -10.1 Combine like terms: 10.1 + -10.1 = 0.0 0.0 + 0.5x = 19 + -10.1 0.5x = 19 + -10.1 Combine like terms: 19 + -10.1 = 8.9 0.5x = 8.9 Divide each side by '0.5'. x = 17.8 Simplifying x = 17.8
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