I can't confirm right now, but can you try this?
{textAlign: 'right', alignSelf: 'stretch'}
Let me know if it works.
UPDATE
Can I suggest a work-around?
<View style={{flex: 1, flexDirection: 'row'}}>
<View style={{flex: 1}}>
<Text>4 Views 0 Comments</Text>
</View>
<View style={{flex: 1}}>
<Text style={{textAlign: 'right'}}>Solve This</Text>
</View>
</View>
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