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Simplifying X + y + xi + 2yi = 8 + 13 Reorder the terms: X + ix + 2iy + y = 8 + 13 Combine like terms: 8 + 13 = 21 X + ix + 2iy + y = 21 Solving X + ix + 2iy + y = 21 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1ix' to each side of the equation. X + ix + 2iy + -1ix + y = 21 + -1ix Reorder the terms: X + ix + -1ix + 2iy + y = 21 + -1ix Combine like terms: ix + -1ix = 0 X + 0 + 2iy + y = 21 + -1ix X + 2iy + y = 21 + -1ix Add '-2iy' to each side of the equation. X + 2iy + -2iy + y = 21 + -1ix + -2iy Combine like terms: 2iy + -2iy = 0 X + 0 + y = 21 + -1ix + -2iy X + y = 21 + -1ix + -2iy Add '-1y' to each side of the equation. X + y + -1y = 21 + -1ix + -2iy + -1y Combine like terms: y + -1y = 0 X + 0 = 21 + -1ix + -2iy + -1y X = 21 + -1ix + -2iy + -1y Simplifying X = 21 + -1ix + -2iy + -1y
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