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Simplifying (2 + -1i) * x = 5 Reorder the terms for easier multiplication: x(2 + -1i) = 5 (2 * x + -1i * x) = 5 Reorder the terms: (-1ix + 2x) = 5 (-1ix + 2x) = 5 Solving -1ix + 2x = 5 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2x' to each side of the equation. -1ix + 2x + -2x = 5 + -2x Combine like terms: 2x + -2x = 0 -1ix + 0 = 5 + -2x -1ix = 5 + -2x Divide each side by '-1x'. i = -5x-1 + 2 Simplifying i = -5x-1 + 2 Reorder the terms: i = 2 + -5x-1
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