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Simplifying 0.05(x + 60) + -0.03(x + -20) = 4.4 Reorder the terms: 0.05(60 + x) + -0.03(x + -20) = 4.4 (60 * 0.05 + x * 0.05) + -0.03(x + -20) = 4.4 (3 + 0.05x) + -0.03(x + -20) = 4.4 Reorder the terms: 3 + 0.05x + -0.03(-20 + x) = 4.4 3 + 0.05x + (-20 * -0.03 + x * -0.03) = 4.4 3 + 0.05x + (0.6 + -0.03x) = 4.4 Reorder the terms: 3 + 0.6 + 0.05x + -0.03x = 4.4 Combine like terms: 3 + 0.6 = 3.6 3.6 + 0.05x + -0.03x = 4.4 Combine like terms: 0.05x + -0.03x = 0.02x 3.6 + 0.02x = 4.4 Solving 3.6 + 0.02x = 4.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.6' to each side of the equation. 3.6 + -3.6 + 0.02x = 4.4 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 0.02x = 4.4 + -3.6 0.02x = 4.4 + -3.6 Combine like terms: 4.4 + -3.6 = 0.8 0.02x = 0.8 Divide each side by '0.02'. x = 40 Simplifying x = 40
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