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