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