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Multiply each element in a list by its index

**Question:**
Write a function called `multiply_list_by_index` that takes a list of numbers as input and returns a new list where each element is multiplied by its index. Use a for loop with `enumerate` to iterate over the list and perform the multiplication.

**Example:**
Input: [1, 2, 3, 4, 5]
Output: [0, 2, 6, 12, 20]
def multiply_list_by_index(numbers):
    """
    Multiplies each element in the given list by its index.

    Args:
        numbers (list): The input list of numbers.

    Returns:
        list: A new list with each element multiplied by its index.
    """
    # TODO: Implement the multiply_list_by_index function
    pass