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Simplifying 0.03(60) + 0.07x = 0.05(x + 60) Multiply 0.03 * 60 1.8 + 0.07x = 0.05(x + 60) Reorder the terms: 1.8 + 0.07x = 0.05(60 + x) 1.8 + 0.07x = (60 * 0.05 + x * 0.05) 1.8 + 0.07x = (3 + 0.05x) Solving 1.8 + 0.07x = 3 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 1.8 + 0.07x + -0.05x = 3 + 0.05x + -0.05x Combine like terms: 0.07x + -0.05x = 0.02x 1.8 + 0.02x = 3 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 1.8 + 0.02x = 3 + 0.00 1.8 + 0.02x = 3 Add '-1.8' to each side of the equation. 1.8 + -1.8 + 0.02x = 3 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 0.02x = 3 + -1.8 0.02x = 3 + -1.8 Combine like terms: 3 + -1.8 = 1.2 0.02x = 1.2 Divide each side by '0.02'. x = 60 Simplifying x = 60
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