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Simplifying (3 + -4i) * x = 2 + -4i Reorder the terms for easier multiplication: x(3 + -4i) = 2 + -4i (3 * x + -4i * x) = 2 + -4i Reorder the terms: (-4ix + 3x) = 2 + -4i (-4ix + 3x) = 2 + -4i Solving -4ix + 3x = 2 + -4i 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. -4ix + 4i + 3x = 2 + -4i + 4i Reorder the terms: 4i + -4ix + 3x = 2 + -4i + 4i Combine like terms: -4i + 4i = 0 4i + -4ix + 3x = 2 + 0 4i + -4ix + 3x = 2 Add '-3x' to each side of the equation. 4i + -4ix + 3x + -3x = 2 + -3x Combine like terms: 3x + -3x = 0 4i + -4ix + 0 = 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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