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