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