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Simplifying 0.05x + 0.12(x + 5000) = 0 Reorder the terms: 0.05x + 0.12(5000 + x) = 0 0.05x + (5000 * 0.12 + x * 0.12) = 0 0.05x + (600 + 0.12x) = 0 Reorder the terms: 600 + 0.05x + 0.12x = 0 Combine like terms: 0.05x + 0.12x = 0.17x 600 + 0.17x = 0 Solving 600 + 0.17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-600' to each side of the equation. 600 + -600 + 0.17x = 0 + -600 Combine like terms: 600 + -600 = 0 0 + 0.17x = 0 + -600 0.17x = 0 + -600 Combine like terms: 0 + -600 = -600 0.17x = -600 Divide each side by '0.17'. x = -3529.411765 Simplifying x = -3529.411765
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