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