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