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Simplifying X + 3 + yi = a + -6i Reorder the terms: 3 + X + iy = a + -6i Solving 3 + X + iy = a + -6i Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + X + -3 + iy = a + -3 + -6i Reorder the terms: 3 + -3 + X + iy = a + -3 + -6i Combine like terms: 3 + -3 = 0 0 + X + iy = a + -3 + -6i X + iy = a + -3 + -6i Reorder the terms: X + iy = -3 + a + -6i Add '-1iy' to each side of the equation. X + iy + -1iy = -3 + a + -6i + -1iy Combine like terms: iy + -1iy = 0 X + 0 = -3 + a + -6i + -1iy X = -3 + a + -6i + -1iy Simplifying X = -3 + a + -6i + -1iy
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