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Simplifying 100 = 0.03x + 0.05(3000 + -1x) 100 = 0.03x + (3000 * 0.05 + -1x * 0.05) 100 = 0.03x + (150 + -0.05x) Reorder the terms: 100 = 150 + 0.03x + -0.05x Combine like terms: 0.03x + -0.05x = -0.02x 100 = 150 + -0.02x Solving 100 = 150 + -0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.02x' to each side of the equation. 100 + 0.02x = 150 + -0.02x + 0.02x Combine like terms: -0.02x + 0.02x = 0.00 100 + 0.02x = 150 + 0.00 100 + 0.02x = 150 Add '-100' to each side of the equation. 100 + -100 + 0.02x = 150 + -100 Combine like terms: 100 + -100 = 0 0 + 0.02x = 150 + -100 0.02x = 150 + -100 Combine like terms: 150 + -100 = 50 0.02x = 50 Divide each side by '0.02'. x = 2500 Simplifying x = 2500
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