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Simplifying 2x + 3ix + 3iy = 5x + 2 + -1iy + -3i Reorder the terms: 3ix + 3iy + 2x = 5x + 2 + -1iy + -3i Reorder the terms: 3ix + 3iy + 2x = 2 + -3i + -1iy + 5x Solving 3ix + 3iy + 2x = 2 + -3i + -1iy + 5x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3i' to each side of the equation. 3ix + 3iy + 3i + 2x = 2 + -3i + -1iy + 3i + 5x Reorder the terms: 3i + 3ix + 3iy + 2x = 2 + -3i + -1iy + 3i + 5x Reorder the terms: 3i + 3ix + 3iy + 2x = 2 + -3i + 3i + -1iy + 5x Combine like terms: -3i + 3i = 0 3i + 3ix + 3iy + 2x = 2 + 0 + -1iy + 5x 3i + 3ix + 3iy + 2x = 2 + -1iy + 5x Add 'iy' to each side of the equation. 3i + 3ix + 3iy + iy + 2x = 2 + -1iy + iy + 5x Combine like terms: 3iy + iy = 4iy 3i + 3ix + 4iy + 2x = 2 + -1iy + iy + 5x Combine like terms: -1iy + iy = 0 3i + 3ix + 4iy + 2x = 2 + 0 + 5x 3i + 3ix + 4iy + 2x = 2 + 5x Add '-2x' to each side of the equation. 3i + 3ix + 4iy + 2x + -2x = 2 + 5x + -2x Combine like terms: 2x + -2x = 0 3i + 3ix + 4iy + 0 = 2 + 5x + -2x 3i + 3ix + 4iy = 2 + 5x + -2x Combine like terms: 5x + -2x = 3x 3i + 3ix + 4iy = 2 + 3x Reorder the terms: -2 + 3i + 3ix + 4iy + -3x = 2 + 3x + -2 + -3x Reorder the terms: -2 + 3i + 3ix + 4iy + -3x = 2 + -2 + 3x + -3x Combine like terms: 2 + -2 = 0 -2 + 3i + 3ix + 4iy + -3x = 0 + 3x + -3x -2 + 3i + 3ix + 4iy + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 3i + 3ix + 4iy + -3x = 0 The solution to this equation could not be determined.
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