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