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