Count Sublists Containing Element

Write a Python function `count_element_in_list` that takes two arguments:

1. A list of sublists (`list1`).
2. An element (`x`).

The function should return the number of sublists in `list1` that contain the element `x`.

#### Example Usage
```python [main.nopy]
print(count_element_in_list([[1, 3], [5, 7], [1, 11], [1, 15, 7]], 1))  # Output: 3
print(count_element_in_list([['A', 'B'], ['A', 'C'], ['A', 'D', 'E'], ['B', 'C', 'D']], 'A'))  # Output: 3
print(count_element_in_list([['A', 'B'], ['A', 'C'], ['A', 'D', 'E'], ['B', 'C', 'D']], 'E'))  # Output: 1
```

#### Constraints
- The input list will only contain sublists.
- The sublists can contain any hashable elements.
- The function should handle empty sublists and an empty input list gracefully.
def count_element_in_list(list1, x):
    """
    Count the number of sublists in list1 that contain the element x.

    Args:
        list1 (list of list): A list containing sublists.
        x (any): The element to search for in the sublists.

    Returns:
        int: The count of sublists containing the element x.
    """
    # Initialize a counter to zero
    count = 0
    # TODO: Count the sublists that contain x
    return count
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