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Simplifying 0.05(x + 20) + -0.02(x + -60) = 3.1 Reorder the terms: 0.05(20 + x) + -0.02(x + -60) = 3.1 (20 * 0.05 + x * 0.05) + -0.02(x + -60) = 3.1 (1 + 0.05x) + -0.02(x + -60) = 3.1 Reorder the terms: 1 + 0.05x + -0.02(-60 + x) = 3.1 1 + 0.05x + (-60 * -0.02 + x * -0.02) = 3.1 1 + 0.05x + (1.2 + -0.02x) = 3.1 Reorder the terms: 1 + 1.2 + 0.05x + -0.02x = 3.1 Combine like terms: 1 + 1.2 = 2.2 2.2 + 0.05x + -0.02x = 3.1 Combine like terms: 0.05x + -0.02x = 0.03x 2.2 + 0.03x = 3.1 Solving 2.2 + 0.03x = 3.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.2' to each side of the equation. 2.2 + -2.2 + 0.03x = 3.1 + -2.2 Combine like terms: 2.2 + -2.2 = 0.0 0.0 + 0.03x = 3.1 + -2.2 0.03x = 3.1 + -2.2 Combine like terms: 3.1 + -2.2 = 0.9 0.03x = 0.9 Divide each side by '0.03'. x = 30 Simplifying x = 30
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