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Simplifying 30 = (x + 0.5) * 1.025 Reorder the terms: 30 = (0.5 + x) * 1.025 Reorder the terms for easier multiplication: 30 = 1.025(0.5 + x) 30 = (0.5 * 1.025 + x * 1.025) 30 = (0.5125 + 1.025x) Solving 30 = 0.5125 + 1.025x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.025x' to each side of the equation. 30 + -1.025x = 0.5125 + 1.025x + -1.025x Combine like terms: 1.025x + -1.025x = 0.000 30 + -1.025x = 0.5125 + 0.000 30 + -1.025x = 0.5125 Add '-30' to each side of the equation. 30 + -30 + -1.025x = 0.5125 + -30 Combine like terms: 30 + -30 = 0 0 + -1.025x = 0.5125 + -30 -1.025x = 0.5125 + -30 Combine like terms: 0.5125 + -30 = -29.4875 -1.025x = -29.4875 Divide each side by '-1.025'. x = 28.76829268 Simplifying x = 28.76829268
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