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Simplifying 3x + xi + -2y = 12 + -1iy + -1i Reorder the terms: ix + 3x + -2y = 12 + -1iy + -1i Reorder the terms: ix + 3x + -2y = 12 + -1i + -1iy Solving ix + 3x + -2y = 12 + -1i + -1iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. ix + 3x + i + -2y = 12 + -1i + i + -1iy Reorder the terms: i + ix + 3x + -2y = 12 + -1i + i + -1iy Combine like terms: -1i + i = 0 i + ix + 3x + -2y = 12 + 0 + -1iy i + ix + 3x + -2y = 12 + -1iy Add 'iy' to each side of the equation. i + ix + 3x + iy + -2y = 12 + -1iy + iy Reorder the terms: i + ix + iy + 3x + -2y = 12 + -1iy + iy Combine like terms: -1iy + iy = 0 i + ix + iy + 3x + -2y = 12 + 0 i + ix + iy + 3x + -2y = 12 Add '-3x' to each side of the equation. i + ix + iy + 3x + -3x + -2y = 12 + -3x Combine like terms: 3x + -3x = 0 i + ix + iy + 0 + -2y = 12 + -3x i + ix + iy + -2y = 12 + -3x Add '2y' to each side of the equation. i + ix + iy + -2y + 2y = 12 + -3x + 2y Combine like terms: -2y + 2y = 0 i + ix + iy + 0 = 12 + -3x + 2y i + ix + iy = 12 + -3x + 2y Reorder the terms: -12 + i + ix + iy + 3x + -2y = 12 + -3x + 2y + -12 + 3x + -2y Reorder the terms: -12 + i + ix + iy + 3x + -2y = 12 + -12 + -3x + 3x + 2y + -2y Combine like terms: 12 + -12 = 0 -12 + i + ix + iy + 3x + -2y = 0 + -3x + 3x + 2y + -2y -12 + i + ix + iy + 3x + -2y = -3x + 3x + 2y + -2y Combine like terms: -3x + 3x = 0 -12 + i + ix + iy + 3x + -2y = 0 + 2y + -2y -12 + i + ix + iy + 3x + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -12 + i + ix + iy + 3x + -2y = 0 The solution to this equation could not be determined.
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