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