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Simplifying 0.05x + 0.07(200 + -1x) = 12.8 0.05x + (200 * 0.07 + -1x * 0.07) = 12.8 0.05x + (14 + -0.07x) = 12.8 Reorder the terms: 14 + 0.05x + -0.07x = 12.8 Combine like terms: 0.05x + -0.07x = -0.02x 14 + -0.02x = 12.8 Solving 14 + -0.02x = 12.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -0.02x = 12.8 + -14 Combine like terms: 14 + -14 = 0 0 + -0.02x = 12.8 + -14 -0.02x = 12.8 + -14 Combine like terms: 12.8 + -14 = -1.2 -0.02x = -1.2 Divide each side by '-0.02'. x = 60 Simplifying x = 60
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