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Simplifying 0.5(x + 20) + 0.5x = 41 Reorder the terms: 0.5(20 + x) + 0.5x = 41 (20 * 0.5 + x * 0.5) + 0.5x = 41 (10 + 0.5x) + 0.5x = 41 Combine like terms: 0.5x + 0.5x = 1x 10 + 1x = 41 Solving 10 + 1x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 1x = 41 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 41 + -10 1x = 41 + -10 Combine like terms: 41 + -10 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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