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Simplifying 2 + (x + iy) = 5 + -1i Reorder the terms: 2 + (iy + x) = 5 + -1i Remove parenthesis around (iy + x) 2 + iy + x = 5 + -1i Solving 2 + iy + x = 5 + -1i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. 2 + iy + i + x = 5 + -1i + i Reorder the terms: 2 + i + iy + x = 5 + -1i + i Combine like terms: -1i + i = 0 2 + i + iy + x = 5 + 0 2 + i + iy + x = 5 Add '-2' to each side of the equation. 2 + i + iy + -2 + x = 5 + -2 Reorder the terms: 2 + -2 + i + iy + x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + i + iy + x = 5 + -2 i + iy + x = 5 + -2 Combine like terms: 5 + -2 = 3 i + iy + x = 3 Add '-1x' to each side of the equation. i + iy + x + -1x = 3 + -1x Combine like terms: x + -1x = 0 i + iy + 0 = 3 + -1x i + iy = 3 + -1x Reorder the terms: -3 + i + iy + x = 3 + -1x + -3 + x Reorder the terms: -3 + i + iy + x = 3 + -3 + -1x + x Combine like terms: 3 + -3 = 0 -3 + i + iy + x = 0 + -1x + x -3 + i + iy + x = -1x + x Combine like terms: -1x + x = 0 -3 + i + iy + x = 0 The solution to this equation could not be determined.
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