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