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Simplifying (X + -1y) + 3i = 7 + yi Remove parenthesis around (X + -1y) X + -1y + 3i = 7 + yi Reorder the terms: X + 3i + -1y = 7 + yi Solving X + 3i + -1y = 7 + iy Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3i' to each side of the equation. X + 3i + -3i + -1y = 7 + -3i + iy Combine like terms: 3i + -3i = 0 X + 0 + -1y = 7 + -3i + iy X + -1y = 7 + -3i + iy Add 'y' to each side of the equation. X + -1y + y = 7 + -3i + iy + y Combine like terms: -1y + y = 0 X + 0 = 7 + -3i + iy + y X = 7 + -3i + iy + y Simplifying X = 7 + -3i + iy + y
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