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Simplifying x + yi + -1(3 + 2i) = 5 + -6i x + iy + (3 * -1 + 2i * -1) = 5 + -6i x + iy + (-3 + -2i) = 5 + -6i Reorder the terms: -3 + -2i + iy + x = 5 + -6i Solving -3 + -2i + iy + x = 5 + -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. -3 + -2i + iy + 6i + x = 5 + -6i + 6i Reorder the terms: -3 + -2i + 6i + iy + x = 5 + -6i + 6i Combine like terms: -2i + 6i = 4i -3 + 4i + iy + x = 5 + -6i + 6i Combine like terms: -6i + 6i = 0 -3 + 4i + iy + x = 5 + 0 -3 + 4i + iy + x = 5 Add '3' to each side of the equation. -3 + 4i + iy + 3 + x = 5 + 3 Reorder the terms: -3 + 3 + 4i + iy + x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 4i + iy + x = 5 + 3 4i + iy + x = 5 + 3 Combine like terms: 5 + 3 = 8 4i + iy + x = 8 Add '-1x' to each side of the equation. 4i + iy + x + -1x = 8 + -1x Combine like terms: x + -1x = 0 4i + iy + 0 = 8 + -1x 4i + iy = 8 + -1x Reorder the terms: -8 + 4i + iy + x = 8 + -1x + -8 + x Reorder the terms: -8 + 4i + iy + x = 8 + -8 + -1x + x Combine like terms: 8 + -8 = 0 -8 + 4i + iy + x = 0 + -1x + x -8 + 4i + iy + x = -1x + x Combine like terms: -1x + x = 0 -8 + 4i + iy + x = 0 The solution to this equation could not be determined.
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