How do I bind a single property to affect two other properties? No answer? Too trivial?

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Binding

I have a property in a ViewModel that I want to affect a Checkbox, but the Checkbox is displayed as a part of a ListViewItem, so I want it to also affect ListViewItem.IsSelected. Here is my current xaml:

<CheckBox IsChecked="{Binding IsSelected, RelativeSource={RelativeSource FindAncestor, AncestorType={x:Type ListViewItem}}}" />

My DataContext has a property called IsSelected that I want to control the other two.

How do I bind it to the ListViewItem.IsSelected, so that all three stay in sync?