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Simplifying 2x + yi = 3x + 1 + 3i Reorder the terms: iy + 2x = 3x + 1 + 3i Reorder the terms: iy + 2x = 1 + 3i + 3x Solving iy + 2x = 1 + 3i + 3x 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. iy + -3i + 2x = 1 + 3i + -3i + 3x Reorder the terms: -3i + iy + 2x = 1 + 3i + -3i + 3x Combine like terms: 3i + -3i = 0 -3i + iy + 2x = 1 + 0 + 3x -3i + iy + 2x = 1 + 3x Add '-2x' to each side of the equation. -3i + iy + 2x + -2x = 1 + 3x + -2x Combine like terms: 2x + -2x = 0 -3i + iy + 0 = 1 + 3x + -2x -3i + iy = 1 + 3x + -2x Combine like terms: 3x + -2x = 1x -3i + iy = 1 + 1x Reorder the terms: -1 + -3i + iy + -1x = 1 + 1x + -1 + -1x Reorder the terms: -1 + -3i + iy + -1x = 1 + -1 + 1x + -1x Combine like terms: 1 + -1 = 0 -1 + -3i + iy + -1x = 0 + 1x + -1x -1 + -3i + iy + -1x = 1x + -1x Combine like terms: 1x + -1x = 0 -1 + -3i + iy + -1x = 0 The solution to this equation could not be determined.
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