WPF: How to set HorizontalAlignment in ListView/GridView

I spent quite some time figuring out how to set the HorizontalAlignment property for a cell in a WPF ListView/GridView. I wanted to set it to "Stretch" so that their content can nicely fill the whole cell, even when the columns are resized. It is not hard to do, it is just a few lines of XAML, but you have to know how.

<ListView>

    <ListView.ItemContainerStyle>
        <Style TargetType="ListViewItem">
            <Setter Property="HorizontalContentAlignment" Value="Stretch" />
        </Style>
    </ListView.ItemContainerStyle>
    ...
</ListView>

Same is probably also true for VerticalAlignment, but I haven't tried it.