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Simplifying 0.05x + (0.02)(10) = (0.03)(x + 10) Multiply 0.02 * 10 0.05x + 0.2 = (0.03)(x + 10) Reorder the terms: 0.2 + 0.05x = (0.03)(x + 10) Reorder the terms: 0.2 + 0.05x = 0.03(10 + x) 0.2 + 0.05x = (10 * 0.03 + x * 0.03) 0.2 + 0.05x = (0.3 + 0.03x) Solving 0.2 + 0.05x = 0.3 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. 0.2 + 0.05x + -0.03x = 0.3 + 0.03x + -0.03x Combine like terms: 0.05x + -0.03x = 0.02x 0.2 + 0.02x = 0.3 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 0.2 + 0.02x = 0.3 + 0.00 0.2 + 0.02x = 0.3 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.02x = 0.3 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.02x = 0.3 + -0.2 0.02x = 0.3 + -0.2 Combine like terms: 0.3 + -0.2 = 0.1 0.02x = 0.1 Divide each side by '0.02'. x = 5 Simplifying x = 5
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