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Simplifying 0.05x + 0.08(200 + -1x) = 14.5 0.05x + (200 * 0.08 + -1x * 0.08) = 14.5 0.05x + (16 + -0.08x) = 14.5 Reorder the terms: 16 + 0.05x + -0.08x = 14.5 Combine like terms: 0.05x + -0.08x = -0.03x 16 + -0.03x = 14.5 Solving 16 + -0.03x = 14.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -0.03x = 14.5 + -16 Combine like terms: 16 + -16 = 0 0 + -0.03x = 14.5 + -16 -0.03x = 14.5 + -16 Combine like terms: 14.5 + -16 = -1.5 -0.03x = -1.5 Divide each side by '-0.03'. x = 50 Simplifying x = 50
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