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Simplifying x + i + 2yi = 3 + -6i Reorder the terms: i + 2iy + x = 3 + -6i Solving i + 2iy + x = 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. i + 2iy + 6i + x = 3 + -6i + 6i Reorder the terms: i + 6i + 2iy + x = 3 + -6i + 6i Combine like terms: i + 6i = 7i 7i + 2iy + x = 3 + -6i + 6i Combine like terms: -6i + 6i = 0 7i + 2iy + x = 3 + 0 7i + 2iy + x = 3 Add '-1x' to each side of the equation. 7i + 2iy + x + -1x = 3 + -1x Combine like terms: x + -1x = 0 7i + 2iy + 0 = 3 + -1x 7i + 2iy = 3 + -1x Reorder the terms: -3 + 7i + 2iy + x = 3 + -1x + -3 + x Reorder the terms: -3 + 7i + 2iy + x = 3 + -3 + -1x + x Combine like terms: 3 + -3 = 0 -3 + 7i + 2iy + x = 0 + -1x + x -3 + 7i + 2iy + x = -1x + x Combine like terms: -1x + x = 0 -3 + 7i + 2iy + x = 0 The solution to this equation could not be determined.
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