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Simplifying 0.04x + 0.09(100000 + -1x) = 3000 0.04x + (100000 * 0.09 + -1x * 0.09) = 3000 0.04x + (9000 + -0.09x) = 3000 Reorder the terms: 9000 + 0.04x + -0.09x = 3000 Combine like terms: 0.04x + -0.09x = -0.05x 9000 + -0.05x = 3000 Solving 9000 + -0.05x = 3000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9000' to each side of the equation. 9000 + -9000 + -0.05x = 3000 + -9000 Combine like terms: 9000 + -9000 = 0 0 + -0.05x = 3000 + -9000 -0.05x = 3000 + -9000 Combine like terms: 3000 + -9000 = -6000 -0.05x = -6000 Divide each side by '-0.05'. x = 120000 Simplifying x = 120000
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