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Simplifying 3x + 2 + -7i = i + -2yi + 5 Reorder the terms: 2 + -7i + 3x = i + -2yi + 5 Reorder the terms: 2 + -7i + 3x = 5 + i + -2iy Solving 2 + -7i + 3x = 5 + i + -2iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. 2 + -7i + -1i + 3x = 5 + i + -1i + -2iy Combine like terms: -7i + -1i = -8i 2 + -8i + 3x = 5 + i + -1i + -2iy Combine like terms: i + -1i = 0 2 + -8i + 3x = 5 + 0 + -2iy 2 + -8i + 3x = 5 + -2iy Add '2iy' to each side of the equation. 2 + -8i + 2iy + 3x = 5 + -2iy + 2iy Combine like terms: -2iy + 2iy = 0 2 + -8i + 2iy + 3x = 5 + 0 2 + -8i + 2iy + 3x = 5 Add '-2' to each side of the equation. 2 + -8i + 2iy + -2 + 3x = 5 + -2 Reorder the terms: 2 + -2 + -8i + 2iy + 3x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -8i + 2iy + 3x = 5 + -2 -8i + 2iy + 3x = 5 + -2 Combine like terms: 5 + -2 = 3 -8i + 2iy + 3x = 3 Add '-3x' to each side of the equation. -8i + 2iy + 3x + -3x = 3 + -3x Combine like terms: 3x + -3x = 0 -8i + 2iy + 0 = 3 + -3x -8i + 2iy = 3 + -3x Reorder the terms: -3 + -8i + 2iy + 3x = 3 + -3x + -3 + 3x Reorder the terms: -3 + -8i + 2iy + 3x = 3 + -3 + -3x + 3x Combine like terms: 3 + -3 = 0 -3 + -8i + 2iy + 3x = 0 + -3x + 3x -3 + -8i + 2iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -3 + -8i + 2iy + 3x = 0 The solution to this equation could not be determined.
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