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Simplifying 3x + 2i = 2 + 5i + y + xi Reorder the terms: 2i + 3x = 2 + 5i + y + xi Reorder the terms: 2i + 3x = 2 + 5i + ix + y Solving 2i + 3x = 2 + 5i + ix + y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. 2i + -5i + 3x = 2 + 5i + ix + -5i + y Combine like terms: 2i + -5i = -3i -3i + 3x = 2 + 5i + ix + -5i + y Reorder the terms: -3i + 3x = 2 + 5i + -5i + ix + y Combine like terms: 5i + -5i = 0 -3i + 3x = 2 + 0 + ix + y -3i + 3x = 2 + ix + y Add '-1ix' to each side of the equation. -3i + -1ix + 3x = 2 + ix + -1ix + y Combine like terms: ix + -1ix = 0 -3i + -1ix + 3x = 2 + 0 + y -3i + -1ix + 3x = 2 + y Add '-3x' to each side of the equation. -3i + -1ix + 3x + -3x = 2 + -3x + y Combine like terms: 3x + -3x = 0 -3i + -1ix + 0 = 2 + -3x + y -3i + -1ix = 2 + -3x + y Reorder the terms: -2 + -3i + -1ix + 3x + -1y = 2 + -3x + y + -2 + 3x + -1y Reorder the terms: -2 + -3i + -1ix + 3x + -1y = 2 + -2 + -3x + 3x + y + -1y Combine like terms: 2 + -2 = 0 -2 + -3i + -1ix + 3x + -1y = 0 + -3x + 3x + y + -1y -2 + -3i + -1ix + 3x + -1y = -3x + 3x + y + -1y Combine like terms: -3x + 3x = 0 -2 + -3i + -1ix + 3x + -1y = 0 + y + -1y -2 + -3i + -1ix + 3x + -1y = y + -1y Combine like terms: y + -1y = 0 -2 + -3i + -1ix + 3x + -1y = 0 The solution to this equation could not be determined.
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