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Simplifying 0.03(x + 300) + 0.05x = 689 Reorder the terms: 0.03(300 + x) + 0.05x = 689 (300 * 0.03 + x * 0.03) + 0.05x = 689 (9 + 0.03x) + 0.05x = 689 Combine like terms: 0.03x + 0.05x = 0.08x 9 + 0.08x = 689 Solving 9 + 0.08x = 689 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 0.08x = 689 + -9 Combine like terms: 9 + -9 = 0 0 + 0.08x = 689 + -9 0.08x = 689 + -9 Combine like terms: 689 + -9 = 680 0.08x = 680 Divide each side by '0.08'. x = 8500 Simplifying x = 8500
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