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Simplifying 2x + 6xi + 3 = yi + -1y + 7i Reorder the terms: 3 + 6ix + 2x = yi + -1y + 7i Reorder the terms: 3 + 6ix + 2x = 7i + iy + -1y Solving 3 + 6ix + 2x = 7i + iy + -1y 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. 3 + 6ix + -7i + 2x = 7i + iy + -7i + -1y Reorder the terms: 3 + -7i + 6ix + 2x = 7i + iy + -7i + -1y Reorder the terms: 3 + -7i + 6ix + 2x = 7i + -7i + iy + -1y Combine like terms: 7i + -7i = 0 3 + -7i + 6ix + 2x = 0 + iy + -1y 3 + -7i + 6ix + 2x = iy + -1y Add '-1iy' to each side of the equation. 3 + -7i + 6ix + -1iy + 2x = iy + -1iy + -1y Combine like terms: iy + -1iy = 0 3 + -7i + 6ix + -1iy + 2x = 0 + -1y 3 + -7i + 6ix + -1iy + 2x = -1y Add '-3' to each side of the equation. 3 + -7i + 6ix + -1iy + -3 + 2x = -3 + -1y Reorder the terms: 3 + -3 + -7i + 6ix + -1iy + 2x = -3 + -1y Combine like terms: 3 + -3 = 0 0 + -7i + 6ix + -1iy + 2x = -3 + -1y -7i + 6ix + -1iy + 2x = -3 + -1y Add '-2x' to each side of the equation. -7i + 6ix + -1iy + 2x + -2x = -3 + -2x + -1y Combine like terms: 2x + -2x = 0 -7i + 6ix + -1iy + 0 = -3 + -2x + -1y -7i + 6ix + -1iy = -3 + -2x + -1y Reorder the terms: 3 + -7i + 6ix + -1iy + 2x + y = -3 + -2x + -1y + 3 + 2x + y Reorder the terms: 3 + -7i + 6ix + -1iy + 2x + y = -3 + 3 + -2x + 2x + -1y + y Combine like terms: -3 + 3 = 0 3 + -7i + 6ix + -1iy + 2x + y = 0 + -2x + 2x + -1y + y 3 + -7i + 6ix + -1iy + 2x + y = -2x + 2x + -1y + y Combine like terms: -2x + 2x = 0 3 + -7i + 6ix + -1iy + 2x + y = 0 + -1y + y 3 + -7i + 6ix + -1iy + 2x + y = -1y + y Combine like terms: -1y + y = 0 3 + -7i + 6ix + -1iy + 2x + y = 0 The solution to this equation could not be determined.
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