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Simplifying (-5 + 6i) + X = (-2 + -3i) Remove parenthesis around (-5 + 6i) -5 + 6i + X = (-2 + -3i) Reorder the terms: -5 + X + 6i = (-2 + -3i) Remove parenthesis around (-2 + -3i) -5 + X + 6i = -2 + -3i Solving -5 + X + 6i = -2 + -3i Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + X + 5 + 6i = -2 + 5 + -3i Reorder the terms: -5 + 5 + X + 6i = -2 + 5 + -3i Combine like terms: -5 + 5 = 0 0 + X + 6i = -2 + 5 + -3i X + 6i = -2 + 5 + -3i Combine like terms: -2 + 5 = 3 X + 6i = 3 + -3i Add '-6i' to each side of the equation. X + 6i + -6i = 3 + -3i + -6i Combine like terms: 6i + -6i = 0 X + 0 = 3 + -3i + -6i X = 3 + -3i + -6i Combine like terms: -3i + -6i = -9i X = 3 + -9i Simplifying X = 3 + -9i
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