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Simplifying 150 = 0.03x + 0.05(3100 + -1x) 150 = 0.03x + (3100 * 0.05 + -1x * 0.05) 150 = 0.03x + (155 + -0.05x) Reorder the terms: 150 = 155 + 0.03x + -0.05x Combine like terms: 0.03x + -0.05x = -0.02x 150 = 155 + -0.02x Solving 150 = 155 + -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. 150 + 0.02x = 155 + -0.02x + 0.02x Combine like terms: -0.02x + 0.02x = 0.00 150 + 0.02x = 155 + 0.00 150 + 0.02x = 155 Add '-150' to each side of the equation. 150 + -150 + 0.02x = 155 + -150 Combine like terms: 150 + -150 = 0 0 + 0.02x = 155 + -150 0.02x = 155 + -150 Combine like terms: 155 + -150 = 5 0.02x = 5 Divide each side by '0.02'. x = 250 Simplifying x = 250
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