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Simplifying 3x + iy + 4x = 21 + -5i Reorder the terms: iy + 3x + 4x = 21 + -5i Combine like terms: 3x + 4x = 7x iy + 7x = 21 + -5i Solving iy + 7x = 21 + -5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5i' to each side of the equation. iy + 5i + 7x = 21 + -5i + 5i Reorder the terms: 5i + iy + 7x = 21 + -5i + 5i Combine like terms: -5i + 5i = 0 5i + iy + 7x = 21 + 0 5i + iy + 7x = 21 Add '-7x' to each side of the equation. 5i + iy + 7x + -7x = 21 + -7x Combine like terms: 7x + -7x = 0 5i + iy + 0 = 21 + -7x 5i + iy = 21 + -7x Reorder the terms: -21 + 5i + iy + 7x = 21 + -7x + -21 + 7x Reorder the terms: -21 + 5i + iy + 7x = 21 + -21 + -7x + 7x Combine like terms: 21 + -21 = 0 -21 + 5i + iy + 7x = 0 + -7x + 7x -21 + 5i + iy + 7x = -7x + 7x Combine like terms: -7x + 7x = 0 -21 + 5i + iy + 7x = 0 The solution to this equation could not be determined.
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