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Simplifying 0.05(x + -5000) + 0.04x = 830 Reorder the terms: 0.05(-5000 + x) + 0.04x = 830 (-5000 * 0.05 + x * 0.05) + 0.04x = 830 (-250 + 0.05x) + 0.04x = 830 Combine like terms: 0.05x + 0.04x = 0.09x -250 + 0.09x = 830 Solving -250 + 0.09x = 830 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '250' to each side of the equation. -250 + 250 + 0.09x = 830 + 250 Combine like terms: -250 + 250 = 0 0 + 0.09x = 830 + 250 0.09x = 830 + 250 Combine like terms: 830 + 250 = 1080 0.09x = 1080 Divide each side by '0.09'. x = 12000 Simplifying x = 12000
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