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Simplifying 0.04x + 0.15(10000 + -1x) = 0 0.04x + (10000 * 0.15 + -1x * 0.15) = 0 0.04x + (1500 + -0.15x) = 0 Reorder the terms: 1500 + 0.04x + -0.15x = 0 Combine like terms: 0.04x + -0.15x = -0.11x 1500 + -0.11x = 0 Solving 1500 + -0.11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1500' to each side of the equation. 1500 + -1500 + -0.11x = 0 + -1500 Combine like terms: 1500 + -1500 = 0 0 + -0.11x = 0 + -1500 -0.11x = 0 + -1500 Combine like terms: 0 + -1500 = -1500 -0.11x = -1500 Divide each side by '-0.11'. x = 13636.36364 Simplifying x = 13636.36364
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