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