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