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Simplifying 0.03x + 0.05x + 0.02(x + 3000) = 160 Reorder the terms: 0.03x + 0.05x + 0.02(3000 + x) = 160 0.03x + 0.05x + (3000 * 0.02 + x * 0.02) = 160 0.03x + 0.05x + (60 + 0.02x) = 160 Reorder the terms: 60 + 0.03x + 0.05x + 0.02x = 160 Combine like terms: 0.03x + 0.05x = 0.08x 60 + 0.08x + 0.02x = 160 Combine like terms: 0.08x + 0.02x = 0.1x 60 + 0.1x = 160 Solving 60 + 0.1x = 160 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 0.1x = 160 + -60 Combine like terms: 60 + -60 = 0 0 + 0.1x = 160 + -60 0.1x = 160 + -60 Combine like terms: 160 + -60 = 100 0.1x = 100 Divide each side by '0.1'. x = 1000 Simplifying x = 1000
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