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Simplifying x + 3i = y + xi Reorder the terms: 3i + x = y + xi Reorder the terms: 3i + x = ix + y Solving 3i + x = ix + y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1ix' to each side of the equation. 3i + -1ix + x = ix + -1ix + y Combine like terms: ix + -1ix = 0 3i + -1ix + x = 0 + y 3i + -1ix + x = y Add '-1x' to each side of the equation. 3i + -1ix + x + -1x = -1x + y Combine like terms: x + -1x = 0 3i + -1ix + 0 = -1x + y 3i + -1ix = -1x + y Reorder the terms: 3i + -1ix + x + -1y = -1x + x + y + -1y Combine like terms: -1x + x = 0 3i + -1ix + x + -1y = 0 + y + -1y 3i + -1ix + x + -1y = y + -1y Combine like terms: y + -1y = 0 3i + -1ix + x + -1y = 0 The solution to this equation could not be determined.
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