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Simplifying X + 6i + 3 = 12 + yi Reorder the terms: 3 + X + 6i = 12 + yi Solving 3 + X + 6i = 12 + iy 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 + 6i = 12 + -3 + iy Reorder the terms: 3 + -3 + X + 6i = 12 + -3 + iy Combine like terms: 3 + -3 = 0 0 + X + 6i = 12 + -3 + iy X + 6i = 12 + -3 + iy Combine like terms: 12 + -3 = 9 X + 6i = 9 + iy Add '-6i' to each side of the equation. X + 6i + -6i = 9 + -6i + iy Combine like terms: 6i + -6i = 0 X + 0 = 9 + -6i + iy X = 9 + -6i + iy Simplifying X = 9 + -6i + iy
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