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Simplifying (3x + 4yi) + (7y + -4xi) = 5 + 3i Reorder the terms: (4iy + 3x) + (7y + -4xi) = 5 + 3i Remove parenthesis around (4iy + 3x) 4iy + 3x + (7y + -4xi) = 5 + 3i Reorder the terms: 4iy + 3x + (-4ix + 7y) = 5 + 3i Remove parenthesis around (-4ix + 7y) 4iy + 3x + -4ix + 7y = 5 + 3i Reorder the terms: -4ix + 4iy + 3x + 7y = 5 + 3i Solving -4ix + 4iy + 3x + 7y = 5 + 3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3i' to each side of the equation. -4ix + 4iy + 3x + -3i + 7y = 5 + 3i + -3i Reorder the terms: -3i + -4ix + 4iy + 3x + 7y = 5 + 3i + -3i Combine like terms: 3i + -3i = 0 -3i + -4ix + 4iy + 3x + 7y = 5 + 0 -3i + -4ix + 4iy + 3x + 7y = 5 Add '-3x' to each side of the equation. -3i + -4ix + 4iy + 3x + -3x + 7y = 5 + -3x Combine like terms: 3x + -3x = 0 -3i + -4ix + 4iy + 0 + 7y = 5 + -3x -3i + -4ix + 4iy + 7y = 5 + -3x Add '-7y' to each side of the equation. -3i + -4ix + 4iy + 7y + -7y = 5 + -3x + -7y Combine like terms: 7y + -7y = 0 -3i + -4ix + 4iy + 0 = 5 + -3x + -7y -3i + -4ix + 4iy = 5 + -3x + -7y Reorder the terms: -5 + -3i + -4ix + 4iy + 3x + 7y = 5 + -3x + -7y + -5 + 3x + 7y Reorder the terms: -5 + -3i + -4ix + 4iy + 3x + 7y = 5 + -5 + -3x + 3x + -7y + 7y Combine like terms: 5 + -5 = 0 -5 + -3i + -4ix + 4iy + 3x + 7y = 0 + -3x + 3x + -7y + 7y -5 + -3i + -4ix + 4iy + 3x + 7y = -3x + 3x + -7y + 7y Combine like terms: -3x + 3x = 0 -5 + -3i + -4ix + 4iy + 3x + 7y = 0 + -7y + 7y -5 + -3i + -4ix + 4iy + 3x + 7y = -7y + 7y Combine like terms: -7y + 7y = 0 -5 + -3i + -4ix + 4iy + 3x + 7y = 0 The solution to this equation could not be determined.
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