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Simplifying 0.04x + -0.05(x + -4000) = -500 Reorder the terms: 0.04x + -0.05(-4000 + x) = -500 0.04x + (-4000 * -0.05 + x * -0.05) = -500 0.04x + (200 + -0.05x) = -500 Reorder the terms: 200 + 0.04x + -0.05x = -500 Combine like terms: 0.04x + -0.05x = -0.01x 200 + -0.01x = -500 Solving 200 + -0.01x = -500 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 + -0.01x = -500 + -200 Combine like terms: 200 + -200 = 0 0 + -0.01x = -500 + -200 -0.01x = -500 + -200 Combine like terms: -500 + -200 = -700 -0.01x = -700 Divide each side by '-0.01'. x = 70000 Simplifying x = 70000
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