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Simplifying (X + 4i) = (5 + -1i) + (3 + -4yi) Remove parenthesis around (X + 4i) X + 4i = (5 + -1i) + (3 + -4yi) Remove parenthesis around (5 + -1i) X + 4i = 5 + -1i + (3 + -4yi) Remove parenthesis around (3 + -4iy) X + 4i = 5 + -1i + 3 + -4iy Reorder the terms: X + 4i = 5 + 3 + -1i + -4iy Combine like terms: 5 + 3 = 8 X + 4i = 8 + -1i + -4iy Solving X + 4i = 8 + -1i + -4iy Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4i' to each side of the equation. X + 4i + -4i = 8 + -1i + -4i + -4iy Combine like terms: 4i + -4i = 0 X + 0 = 8 + -1i + -4i + -4iy X = 8 + -1i + -4i + -4iy Combine like terms: -1i + -4i = -5i X = 8 + -5i + -4iy Simplifying X = 8 + -5i + -4iy
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