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Simplifying -3x + -1 + 2yi = 5x + -5i Reorder the terms: -1 + 2iy + -3x = 5x + -5i Reorder the terms: -1 + 2iy + -3x = -5i + 5x Solving -1 + 2iy + -3x = -5i + 5x 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. -1 + 2iy + 5i + -3x = -5i + 5i + 5x Reorder the terms: -1 + 5i + 2iy + -3x = -5i + 5i + 5x Combine like terms: -5i + 5i = 0 -1 + 5i + 2iy + -3x = 0 + 5x -1 + 5i + 2iy + -3x = 5x Add '1' to each side of the equation. -1 + 5i + 2iy + 1 + -3x = 1 + 5x Reorder the terms: -1 + 1 + 5i + 2iy + -3x = 1 + 5x Combine like terms: -1 + 1 = 0 0 + 5i + 2iy + -3x = 1 + 5x 5i + 2iy + -3x = 1 + 5x Add '3x' to each side of the equation. 5i + 2iy + -3x + 3x = 1 + 5x + 3x Combine like terms: -3x + 3x = 0 5i + 2iy + 0 = 1 + 5x + 3x 5i + 2iy = 1 + 5x + 3x Combine like terms: 5x + 3x = 8x 5i + 2iy = 1 + 8x Reorder the terms: -1 + 5i + 2iy + -8x = 1 + 8x + -1 + -8x Reorder the terms: -1 + 5i + 2iy + -8x = 1 + -1 + 8x + -8x Combine like terms: 1 + -1 = 0 -1 + 5i + 2iy + -8x = 0 + 8x + -8x -1 + 5i + 2iy + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 -1 + 5i + 2iy + -8x = 0 The solution to this equation could not be determined.
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