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Simplifying x = 250 + 0.8(x + -1(325 + 0.25x)) + 650 + -80i + 560 x = 250 + 0.8(x + (325 * -1 + 0.25x * -1)) + 650 + -80i + 560 x = 250 + 0.8(x + (-325 + -0.25x)) + 650 + -80i + 560 Reorder the terms: x = 250 + 0.8(-325 + x + -0.25x) + 650 + -80i + 560 Combine like terms: x + -0.25x = 0.75x x = 250 + 0.8(-325 + 0.75x) + 650 + -80i + 560 x = 250 + (-325 * 0.8 + 0.75x * 0.8) + 650 + -80i + 560 x = 250 + (-260 + 0.6x) + 650 + -80i + 560 Reorder the terms: x = 250 + -260 + 650 + 560 + -80i + 0.6x Combine like terms: 250 + -260 = -10 x = -10 + 650 + 560 + -80i + 0.6x Combine like terms: -10 + 650 = 640 x = 640 + 560 + -80i + 0.6x Combine like terms: 640 + 560 = 1200 x = 1200 + -80i + 0.6x Solving x = 1200 + -80i + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. x + -0.6x = 1200 + -80i + 0.6x + -0.6x Combine like terms: x + -0.6x = 0.4x 0.4x = 1200 + -80i + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 0.4x = 1200 + -80i + 0.0 0.4x = 1200 + -80i Divide each side by '0.4'. x = 3000 + -200i Simplifying x = 3000 + -200i
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