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Simplifying 3x + -7i = x + 5i + 8 + -1yi Reorder the terms: -7i + 3x = x + 5i + 8 + -1yi Reorder the terms: -7i + 3x = 8 + 5i + -1iy + x Solving -7i + 3x = 8 + 5i + -1iy + x 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. -7i + -5i + 3x = 8 + 5i + -1iy + -5i + x Combine like terms: -7i + -5i = -12i -12i + 3x = 8 + 5i + -1iy + -5i + x Reorder the terms: -12i + 3x = 8 + 5i + -5i + -1iy + x Combine like terms: 5i + -5i = 0 -12i + 3x = 8 + 0 + -1iy + x -12i + 3x = 8 + -1iy + x Add 'iy' to each side of the equation. -12i + iy + 3x = 8 + -1iy + iy + x Combine like terms: -1iy + iy = 0 -12i + iy + 3x = 8 + 0 + x -12i + iy + 3x = 8 + x Add '-3x' to each side of the equation. -12i + iy + 3x + -3x = 8 + x + -3x Combine like terms: 3x + -3x = 0 -12i + iy + 0 = 8 + x + -3x -12i + iy = 8 + x + -3x Combine like terms: x + -3x = -2x -12i + iy = 8 + -2x Reorder the terms: -8 + -12i + iy + 2x = 8 + -2x + -8 + 2x Reorder the terms: -8 + -12i + iy + 2x = 8 + -8 + -2x + 2x Combine like terms: 8 + -8 = 0 -8 + -12i + iy + 2x = 0 + -2x + 2x -8 + -12i + iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -8 + -12i + iy + 2x = 0 The solution to this equation could not be determined.
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