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Simplifying 0.11x(4000) + 0.14(4000 + -1x) = 482 Reorder the terms for easier multiplication: 0.11 * 4000x + 0.14(4000 + -1x) = 482 Multiply 0.11 * 4000 440x + 0.14(4000 + -1x) = 482 440x + (4000 * 0.14 + -1x * 0.14) = 482 440x + (560 + -0.14x) = 482 Reorder the terms: 560 + 440x + -0.14x = 482 Combine like terms: 440x + -0.14x = 439.86x 560 + 439.86x = 482 Solving 560 + 439.86x = 482 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-560' to each side of the equation. 560 + -560 + 439.86x = 482 + -560 Combine like terms: 560 + -560 = 0 0 + 439.86x = 482 + -560 439.86x = 482 + -560 Combine like terms: 482 + -560 = -78 439.86x = -78 Divide each side by '439.86'. x = -0.1773291502 Simplifying x = -0.1773291502
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