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Simplifying 0.05x + 0.03(1200 + -1x) = 42 0.05x + (1200 * 0.03 + -1x * 0.03) = 42 0.05x + (36 + -0.03x) = 42 Reorder the terms: 36 + 0.05x + -0.03x = 42 Combine like terms: 0.05x + -0.03x = 0.02x 36 + 0.02x = 42 Solving 36 + 0.02x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 0.02x = 42 + -36 Combine like terms: 36 + -36 = 0 0 + 0.02x = 42 + -36 0.02x = 42 + -36 Combine like terms: 42 + -36 = 6 0.02x = 6 Divide each side by '0.02'. x = 300 Simplifying x = 300
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