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