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Simplifying 4x + i(3x + -1y) = 3 + i(-6) 4x + (3x * i + -1y * i) = 3 + i(-6) 4x + (3ix + -1iy) = 3 + i(-6) Reorder the terms: 3ix + -1iy + 4x = 3 + i(-6) Reorder the terms for easier multiplication: 3ix + -1iy + 4x = 3 + -6i Solving 3ix + -1iy + 4x = 3 + -6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6i' to each side of the equation. 3ix + -1iy + 6i + 4x = 3 + -6i + 6i Reorder the terms: 6i + 3ix + -1iy + 4x = 3 + -6i + 6i Combine like terms: -6i + 6i = 0 6i + 3ix + -1iy + 4x = 3 + 0 6i + 3ix + -1iy + 4x = 3 Add '-4x' to each side of the equation. 6i + 3ix + -1iy + 4x + -4x = 3 + -4x Combine like terms: 4x + -4x = 0 6i + 3ix + -1iy + 0 = 3 + -4x 6i + 3ix + -1iy = 3 + -4x Reorder the terms: -3 + 6i + 3ix + -1iy + 4x = 3 + -4x + -3 + 4x Reorder the terms: -3 + 6i + 3ix + -1iy + 4x = 3 + -3 + -4x + 4x Combine like terms: 3 + -3 = 0 -3 + 6i + 3ix + -1iy + 4x = 0 + -4x + 4x -3 + 6i + 3ix + -1iy + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 6i + 3ix + -1iy + 4x = 0 The solution to this equation could not be determined.
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