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