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Simplifying 0.14x + 0.1(5000 + -1x) = 0 0.14x + (5000 * 0.1 + -1x * 0.1) = 0 0.14x + (500 + -0.1x) = 0 Reorder the terms: 500 + 0.14x + -0.1x = 0 Combine like terms: 0.14x + -0.1x = 0.04x 500 + 0.04x = 0 Solving 500 + 0.04x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + -500 + 0.04x = 0 + -500 Combine like terms: 500 + -500 = 0 0 + 0.04x = 0 + -500 0.04x = 0 + -500 Combine like terms: 0 + -500 = -500 0.04x = -500 Divide each side by '0.04'. x = -12500 Simplifying x = -12500
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