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Simplifying (9 + -9i) + X = (-1 + 5i) Remove parenthesis around (9 + -9i) 9 + -9i + X = (-1 + 5i) Reorder the terms: 9 + X + -9i = (-1 + 5i) Remove parenthesis around (-1 + 5i) 9 + X + -9i = -1 + 5i Solving 9 + X + -9i = -1 + 5i Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + X + -9 + -9i = -1 + -9 + 5i Reorder the terms: 9 + -9 + X + -9i = -1 + -9 + 5i Combine like terms: 9 + -9 = 0 0 + X + -9i = -1 + -9 + 5i X + -9i = -1 + -9 + 5i Combine like terms: -1 + -9 = -10 X + -9i = -10 + 5i Add '9i' to each side of the equation. X + -9i + 9i = -10 + 5i + 9i Combine like terms: -9i + 9i = 0 X + 0 = -10 + 5i + 9i X = -10 + 5i + 9i Combine like terms: 5i + 9i = 14i X = -10 + 14i Simplifying X = -10 + 14i
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