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Simplifying 3x + 3yi + -1(5x + 2i) = x + -12i + x + -4i Reorder the terms: 3x + 3iy + -1(2i + 5x) = x + -12i + x + -4i 3x + 3iy + (2i * -1 + 5x * -1) = x + -12i + x + -4i 3x + 3iy + (-2i + -5x) = x + -12i + x + -4i Reorder the terms: -2i + 3iy + 3x + -5x = x + -12i + x + -4i Combine like terms: 3x + -5x = -2x -2i + 3iy + -2x = x + -12i + x + -4i Reorder the terms: -2i + 3iy + -2x = -12i + -4i + x + x Combine like terms: -12i + -4i = -16i -2i + 3iy + -2x = -16i + x + x Combine like terms: x + x = 2x -2i + 3iy + -2x = -16i + 2x Solving -2i + 3iy + -2x = -16i + 2x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '16i' to each side of the equation. -2i + 3iy + 16i + -2x = -16i + 16i + 2x Reorder the terms: -2i + 16i + 3iy + -2x = -16i + 16i + 2x Combine like terms: -2i + 16i = 14i 14i + 3iy + -2x = -16i + 16i + 2x Combine like terms: -16i + 16i = 0 14i + 3iy + -2x = 0 + 2x 14i + 3iy + -2x = 2x Add '2x' to each side of the equation. 14i + 3iy + -2x + 2x = 2x + 2x Combine like terms: -2x + 2x = 0 14i + 3iy + 0 = 2x + 2x 14i + 3iy = 2x + 2x Combine like terms: 2x + 2x = 4x 14i + 3iy = 4x Combine like terms: 4x + -4x = 0 14i + 3iy + -4x = 0 The solution to this equation could not be determined.
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