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Simplifying (X + -1(2 + -3i)) = 0 (X + (2 * -1 + -3i * -1)) = 0 (X + (-2 + 3i)) = 0 Reorder the terms: (-2 + X + 3i) = 0 Remove parenthesis around (-2 + X + 3i) -2 + X + 3i = 0 Solving -2 + X + 3i = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2' to each side of the equation. -2 + X + 2 + 3i = 0 + 2 Reorder the terms: -2 + 2 + X + 3i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + X + 3i = 0 + 2 X + 3i = 0 + 2 Combine like terms: 0 + 2 = 2 X + 3i = 2 Add '-3i' to each side of the equation. X + 3i + -3i = 2 + -3i Combine like terms: 3i + -3i = 0 X + 0 = 2 + -3i X = 2 + -3i Simplifying X = 2 + -3i
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