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Simplifying 0.12x + 0.09(5000 + -1x) = 513 0.12x + (5000 * 0.09 + -1x * 0.09) = 513 0.12x + (450 + -0.09x) = 513 Reorder the terms: 450 + 0.12x + -0.09x = 513 Combine like terms: 0.12x + -0.09x = 0.03x 450 + 0.03x = 513 Solving 450 + 0.03x = 513 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-450' to each side of the equation. 450 + -450 + 0.03x = 513 + -450 Combine like terms: 450 + -450 = 0 0 + 0.03x = 513 + -450 0.03x = 513 + -450 Combine like terms: 513 + -450 = 63 0.03x = 63 Divide each side by '0.03'. x = 2100 Simplifying x = 2100
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