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Simplifying X + -1(5 + 3i) = 0 X + (5 * -1 + 3i * -1) = 0 X + (-5 + -3i) = 0 Reorder the terms: -5 + X + -3i = 0 Solving -5 + X + -3i = 0 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 + -3i = 0 + 5 Reorder the terms: -5 + 5 + X + -3i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + X + -3i = 0 + 5 X + -3i = 0 + 5 Combine like terms: 0 + 5 = 5 X + -3i = 5 Add '3i' to each side of the equation. X + -3i + 3i = 5 + 3i Combine like terms: -3i + 3i = 0 X + 0 = 5 + 3i X = 5 + 3i Simplifying X = 5 + 3i
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