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Simplifying 0.03x + 0.05(200 + -1x) = 8.4 0.03x + (200 * 0.05 + -1x * 0.05) = 8.4 0.03x + (10 + -0.05x) = 8.4 Reorder the terms: 10 + 0.03x + -0.05x = 8.4 Combine like terms: 0.03x + -0.05x = -0.02x 10 + -0.02x = 8.4 Solving 10 + -0.02x = 8.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -0.02x = 8.4 + -10 Combine like terms: 10 + -10 = 0 0 + -0.02x = 8.4 + -10 -0.02x = 8.4 + -10 Combine like terms: 8.4 + -10 = -1.6 -0.02x = -1.6 Divide each side by '-0.02'. x = 80 Simplifying x = 80
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