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