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Simplifying 0.30x + 0.12(50000 + -1x) = 10500 0.30x + (50000 * 0.12 + -1x * 0.12) = 10500 0.30x + (6000 + -0.12x) = 10500 Reorder the terms: 6000 + 0.30x + -0.12x = 10500 Combine like terms: 0.30x + -0.12x = 0.18x 6000 + 0.18x = 10500 Solving 6000 + 0.18x = 10500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6000' to each side of the equation. 6000 + -6000 + 0.18x = 10500 + -6000 Combine like terms: 6000 + -6000 = 0 0 + 0.18x = 10500 + -6000 0.18x = 10500 + -6000 Combine like terms: 10500 + -6000 = 4500 0.18x = 4500 Divide each side by '0.18'. x = 25000 Simplifying x = 25000
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