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Simplifying X + 2xi + 4y + -3yi = 13 + 7i Reorder the terms: X + 2ix + -3iy + 4y = 13 + 7i Solving X + 2ix + -3iy + 4y = 13 + 7i Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2ix' to each side of the equation. X + 2ix + -3iy + -2ix + 4y = 13 + 7i + -2ix Reorder the terms: X + 2ix + -2ix + -3iy + 4y = 13 + 7i + -2ix Combine like terms: 2ix + -2ix = 0 X + 0 + -3iy + 4y = 13 + 7i + -2ix X + -3iy + 4y = 13 + 7i + -2ix Add '3iy' to each side of the equation. X + -3iy + 3iy + 4y = 13 + 7i + -2ix + 3iy Combine like terms: -3iy + 3iy = 0 X + 0 + 4y = 13 + 7i + -2ix + 3iy X + 4y = 13 + 7i + -2ix + 3iy Add '-4y' to each side of the equation. X + 4y + -4y = 13 + 7i + -2ix + 3iy + -4y Combine like terms: 4y + -4y = 0 X + 0 = 13 + 7i + -2ix + 3iy + -4y X = 13 + 7i + -2ix + 3iy + -4y Simplifying X = 13 + 7i + -2ix + 3iy + -4y
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