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