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Simplifying 3 + 5i + 6x = 15 + -3i + 11yi Solving 3 + 5i + 6x = 15 + -3i + 11iy 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. 3 + 5i + 3i + 6x = 15 + -3i + 3i + 11iy Combine like terms: 5i + 3i = 8i 3 + 8i + 6x = 15 + -3i + 3i + 11iy Combine like terms: -3i + 3i = 0 3 + 8i + 6x = 15 + 0 + 11iy 3 + 8i + 6x = 15 + 11iy Add '-11iy' to each side of the equation. 3 + 8i + -11iy + 6x = 15 + 11iy + -11iy Combine like terms: 11iy + -11iy = 0 3 + 8i + -11iy + 6x = 15 + 0 3 + 8i + -11iy + 6x = 15 Add '-3' to each side of the equation. 3 + 8i + -11iy + -3 + 6x = 15 + -3 Reorder the terms: 3 + -3 + 8i + -11iy + 6x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 8i + -11iy + 6x = 15 + -3 8i + -11iy + 6x = 15 + -3 Combine like terms: 15 + -3 = 12 8i + -11iy + 6x = 12 Add '-6x' to each side of the equation. 8i + -11iy + 6x + -6x = 12 + -6x Combine like terms: 6x + -6x = 0 8i + -11iy + 0 = 12 + -6x 8i + -11iy = 12 + -6x Reorder the terms: -12 + 8i + -11iy + 6x = 12 + -6x + -12 + 6x Reorder the terms: -12 + 8i + -11iy + 6x = 12 + -12 + -6x + 6x Combine like terms: 12 + -12 = 0 -12 + 8i + -11iy + 6x = 0 + -6x + 6x -12 + 8i + -11iy + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 8i + -11iy + 6x = 0 The solution to this equation could not be determined.
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