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Simplifying 5ix + 6i + -2 = (-3 + i) * x + 2i Reorder the terms: -2 + 6i + 5ix = (-3 + i) * x + 2i Reorder the terms for easier multiplication: -2 + 6i + 5ix = x(-3 + i) + 2i -2 + 6i + 5ix = (-3 * x + i * x) + 2i Reorder the terms: -2 + 6i + 5ix = (ix + -3x) + 2i -2 + 6i + 5ix = (ix + -3x) + 2i Reorder the terms: -2 + 6i + 5ix = 2i + ix + -3x Solving -2 + 6i + 5ix = 2i + ix + -3x 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. -2 + 6i + -2i + 5ix = 2i + ix + -2i + -3x Combine like terms: 6i + -2i = 4i -2 + 4i + 5ix = 2i + ix + -2i + -3x Reorder the terms: -2 + 4i + 5ix = 2i + -2i + ix + -3x Combine like terms: 2i + -2i = 0 -2 + 4i + 5ix = 0 + ix + -3x -2 + 4i + 5ix = ix + -3x Add '-1ix' to each side of the equation. -2 + 4i + 5ix + -1ix = ix + -1ix + -3x Combine like terms: 5ix + -1ix = 4ix -2 + 4i + 4ix = ix + -1ix + -3x Combine like terms: ix + -1ix = 0 -2 + 4i + 4ix = 0 + -3x -2 + 4i + 4ix = -3x Add '2' to each side of the equation. -2 + 4i + 2 + 4ix = 2 + -3x Reorder the terms: -2 + 2 + 4i + 4ix = 2 + -3x Combine like terms: -2 + 2 = 0 0 + 4i + 4ix = 2 + -3x 4i + 4ix = 2 + -3x Reorder the terms: -2 + 4i + 4ix + 3x = 2 + -3x + -2 + 3x Reorder the terms: -2 + 4i + 4ix + 3x = 2 + -2 + -3x + 3x Combine like terms: 2 + -2 = 0 -2 + 4i + 4ix + 3x = 0 + -3x + 3x -2 + 4i + 4ix + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 4i + 4ix + 3x = 0 The solution to this equation could not be determined.
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