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Simplifying (20 + 0.5x) + 0.15(20 + 0.5x) = 62.10 Remove parenthesis around (20 + 0.5x) 20 + 0.5x + 0.15(20 + 0.5x) = 62.10 20 + 0.5x + (20 * 0.15 + 0.5x * 0.15) = 62.10 20 + 0.5x + (3 + 0.075x) = 62.10 Reorder the terms: 20 + 3 + 0.5x + 0.075x = 62.10 Combine like terms: 20 + 3 = 23 23 + 0.5x + 0.075x = 62.10 Combine like terms: 0.5x + 0.075x = 0.575x 23 + 0.575x = 62.10 Solving 23 + 0.575x = 62.10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 0.575x = 62.10 + -23 Combine like terms: 23 + -23 = 0 0 + 0.575x = 62.10 + -23 0.575x = 62.10 + -23 Combine like terms: 62.10 + -23 = 39.1 0.575x = 39.1 Divide each side by '0.575'. x = 68 Simplifying x = 68
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