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