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Simplifying 3x + 5y + -1xi + 2yi = 7 + 5i Reorder the terms: -1ix + 2iy + 3x + 5y = 7 + 5i Solving -1ix + 2iy + 3x + 5y = 7 + 5i 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. -1ix + 2iy + 3x + -5i + 5y = 7 + 5i + -5i Reorder the terms: -5i + -1ix + 2iy + 3x + 5y = 7 + 5i + -5i Combine like terms: 5i + -5i = 0 -5i + -1ix + 2iy + 3x + 5y = 7 + 0 -5i + -1ix + 2iy + 3x + 5y = 7 Add '-3x' to each side of the equation. -5i + -1ix + 2iy + 3x + -3x + 5y = 7 + -3x Combine like terms: 3x + -3x = 0 -5i + -1ix + 2iy + 0 + 5y = 7 + -3x -5i + -1ix + 2iy + 5y = 7 + -3x Add '-5y' to each side of the equation. -5i + -1ix + 2iy + 5y + -5y = 7 + -3x + -5y Combine like terms: 5y + -5y = 0 -5i + -1ix + 2iy + 0 = 7 + -3x + -5y -5i + -1ix + 2iy = 7 + -3x + -5y Reorder the terms: -7 + -5i + -1ix + 2iy + 3x + 5y = 7 + -3x + -5y + -7 + 3x + 5y Reorder the terms: -7 + -5i + -1ix + 2iy + 3x + 5y = 7 + -7 + -3x + 3x + -5y + 5y Combine like terms: 7 + -7 = 0 -7 + -5i + -1ix + 2iy + 3x + 5y = 0 + -3x + 3x + -5y + 5y -7 + -5i + -1ix + 2iy + 3x + 5y = -3x + 3x + -5y + 5y Combine like terms: -3x + 3x = 0 -7 + -5i + -1ix + 2iy + 3x + 5y = 0 + -5y + 5y -7 + -5i + -1ix + 2iy + 3x + 5y = -5y + 5y Combine like terms: -5y + 5y = 0 -7 + -5i + -1ix + 2iy + 3x + 5y = 0 The solution to this equation could not be determined.
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