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Simplifying X + -1(4 + -6i) = 5 + 3i X + (4 * -1 + -6i * -1) = 5 + 3i X + (-4 + 6i) = 5 + 3i Reorder the terms: -4 + X + 6i = 5 + 3i Solving -4 + X + 6i = 5 + 3i Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + X + 4 + 6i = 5 + 4 + 3i Reorder the terms: -4 + 4 + X + 6i = 5 + 4 + 3i Combine like terms: -4 + 4 = 0 0 + X + 6i = 5 + 4 + 3i X + 6i = 5 + 4 + 3i Combine like terms: 5 + 4 = 9 X + 6i = 9 + 3i Add '-6i' to each side of the equation. X + 6i + -6i = 9 + 3i + -6i Combine like terms: 6i + -6i = 0 X + 0 = 9 + 3i + -6i X = 9 + 3i + -6i Combine like terms: 3i + -6i = -3i X = 9 + -3i Simplifying X = 9 + -3i
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