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Simplifying (2x) + (3y * I) = (-14 + 9i) Multiply y * I (2x) + (3yI) = (-14 + 9i) Remove parenthesis around (-14 + 9i) (2x) + (3yI) = -14 + 9i Solving (2x) + (3yI) = -14 + 9i Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-3yI)' to each side of the equation. (2x) + (3yI) + (-3yI) = -14 + 9i + (-3yI) Combine like terms: (3yI) + (-3yI) = 0 (2x) + 0 = -14 + 9i + (-3yI) (2x) = -14 + 9i + (-3yI) Divide each side by '2'. x = -7 + 4.5i + (-1.5yI) Simplifying x = -7 + 4.5i + (-1.5yI)
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