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Simplifying x + 5i = 6 + -1x + yi + xi Reorder the terms: 5i + x = 6 + -1x + yi + xi Reorder the terms: 5i + x = 6 + ix + iy + -1x Solving 5i + x = 6 + ix + iy + -1x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1ix' to each side of the equation. 5i + -1ix + x = 6 + ix + iy + -1ix + -1x Reorder the terms: 5i + -1ix + x = 6 + ix + -1ix + iy + -1x Combine like terms: ix + -1ix = 0 5i + -1ix + x = 6 + 0 + iy + -1x 5i + -1ix + x = 6 + iy + -1x Add '-1iy' to each side of the equation. 5i + -1ix + -1iy + x = 6 + iy + -1iy + -1x Combine like terms: iy + -1iy = 0 5i + -1ix + -1iy + x = 6 + 0 + -1x 5i + -1ix + -1iy + x = 6 + -1x Add '-1x' to each side of the equation. 5i + -1ix + -1iy + x + -1x = 6 + -1x + -1x Combine like terms: x + -1x = 0 5i + -1ix + -1iy + 0 = 6 + -1x + -1x 5i + -1ix + -1iy = 6 + -1x + -1x Combine like terms: -1x + -1x = -2x 5i + -1ix + -1iy = 6 + -2x Reorder the terms: -6 + 5i + -1ix + -1iy + 2x = 6 + -2x + -6 + 2x Reorder the terms: -6 + 5i + -1ix + -1iy + 2x = 6 + -6 + -2x + 2x Combine like terms: 6 + -6 = 0 -6 + 5i + -1ix + -1iy + 2x = 0 + -2x + 2x -6 + 5i + -1ix + -1iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 5i + -1ix + -1iy + 2x = 0 The solution to this equation could not be determined.
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