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Simplifying 0.06x + -0.04(5000 + -1x) = 100 0.06x + (5000 * -0.04 + -1x * -0.04) = 100 0.06x + (-200 + 0.04x) = 100 Reorder the terms: -200 + 0.06x + 0.04x = 100 Combine like terms: 0.06x + 0.04x = 0.1x -200 + 0.1x = 100 Solving -200 + 0.1x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '200' to each side of the equation. -200 + 200 + 0.1x = 100 + 200 Combine like terms: -200 + 200 = 0 0 + 0.1x = 100 + 200 0.1x = 100 + 200 Combine like terms: 100 + 200 = 300 0.1x = 300 Divide each side by '0.1'. x = 3000 Simplifying x = 3000
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