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Simplifying (x + 3i) + (3 + -1i) = 9 + yi Reorder the terms: (3i + x) + (3 + -1i) = 9 + yi Remove parenthesis around (3i + x) 3i + x + (3 + -1i) = 9 + yi Remove parenthesis around (3 + -1i) 3i + x + 3 + -1i = 9 + yi Reorder the terms: 3 + 3i + -1i + x = 9 + yi Combine like terms: 3i + -1i = 2i 3 + 2i + x = 9 + yi Solving 3 + 2i + x = 9 + iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1iy' to each side of the equation. 3 + 2i + -1iy + x = 9 + iy + -1iy Combine like terms: iy + -1iy = 0 3 + 2i + -1iy + x = 9 + 0 3 + 2i + -1iy + x = 9 Add '-3' to each side of the equation. 3 + 2i + -1iy + -3 + x = 9 + -3 Reorder the terms: 3 + -3 + 2i + -1iy + x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 2i + -1iy + x = 9 + -3 2i + -1iy + x = 9 + -3 Combine like terms: 9 + -3 = 6 2i + -1iy + x = 6 Add '-1x' to each side of the equation. 2i + -1iy + x + -1x = 6 + -1x Combine like terms: x + -1x = 0 2i + -1iy + 0 = 6 + -1x 2i + -1iy = 6 + -1x Reorder the terms: -6 + 2i + -1iy + x = 6 + -1x + -6 + x Reorder the terms: -6 + 2i + -1iy + x = 6 + -6 + -1x + x Combine like terms: 6 + -6 = 0 -6 + 2i + -1iy + x = 0 + -1x + x -6 + 2i + -1iy + x = -1x + x Combine like terms: -1x + x = 0 -6 + 2i + -1iy + x = 0 The solution to this equation could not be determined.
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