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Simplifying 0.04x + 0.09(20000 + -1x) = 1600 0.04x + (20000 * 0.09 + -1x * 0.09) = 1600 0.04x + (1800 + -0.09x) = 1600 Reorder the terms: 1800 + 0.04x + -0.09x = 1600 Combine like terms: 0.04x + -0.09x = -0.05x 1800 + -0.05x = 1600 Solving 1800 + -0.05x = 1600 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1800' to each side of the equation. 1800 + -1800 + -0.05x = 1600 + -1800 Combine like terms: 1800 + -1800 = 0 0 + -0.05x = 1600 + -1800 -0.05x = 1600 + -1800 Combine like terms: 1600 + -1800 = -200 -0.05x = -200 Divide each side by '-0.05'. x = 4000 Simplifying x = 4000
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