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Simplifying 62.10 = (20 + 0.5x) + 0.15(20 + 0.5x) Remove parenthesis around (20 + 0.5x) 62.10 = 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) Reorder the terms: 62.10 = 20 + 3 + 0.5x + 0.075x Combine like terms: 20 + 3 = 23 62.10 = 23 + 0.5x + 0.075x Combine like terms: 0.5x + 0.075x = 0.575x 62.10 = 23 + 0.575x Solving 62.10 = 23 + 0.575x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.575x' to each side of the equation. 62.10 + -0.575x = 23 + 0.575x + -0.575x Combine like terms: 0.575x + -0.575x = 0.000 62.10 + -0.575x = 23 + 0.000 62.10 + -0.575x = 23 Add '-62.10' to each side of the equation. 62.10 + -62.10 + -0.575x = 23 + -62.10 Combine like terms: 62.10 + -62.10 = 0.00 0.00 + -0.575x = 23 + -62.10 -0.575x = 23 + -62.10 Combine like terms: 23 + -62.10 = -39.1 -0.575x = -39.1 Divide each side by '-0.575'. x = 68 Simplifying x = 68
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