Glossary entry (derived from question below)
French term or phrase:
simplifier à la française
English translation:
Putting it simply, with reference to French party politics,
French term
Ireland
20 yrs+ quality translations, Trados
Native in: Spanish 
, English (Variants: UK, US, British, Irish)
Works in: English to Spanish, Spanish to English, Italian to English, and 8 more.
simplifier à la française
Dès le lendemain, les putschistes s’amnistient.
Un gouvernement est nommé.
Pour simplifier à la française : il est composé de 30 % de Néonazis, 30 % de FN et 30 % d’UMP + 10 % de postes insignifiants pour la société civile (à priori, ils ne sont pas non plus très à gauche ces 2 ministres, de la Santé et de la Culture).
Ça se passe (sans surprise si on a bien compris la phrase précédente) très mal – comme ils veulent un peu casser du compatriote russophone, ceux-ci réagissent, et le pays est déstabilisé.
May 17, 2014 14:22: writeaway changed "Field" from "Bus/Financial" to "Other" , "Field (specific)" from "Business/Commerce (general)" to "General / Conversation / Greetings / Letters"
May 17, 2014 16:03: Rachel Fell changed "Level" from "PRO" to "Non-PRO"
Non-PRO (3): Bashiqa, Sheri P, Rachel Fell
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Proposed translations
Psychologist, Court-certified legal
Native in: English 
Works in: French to English
Putting it simply, with reference to French party politics,
Putting it simply, transposed to France that would mean...
-, if this were France, that would mean...
etc.
to put it simply, French-style
| agree |
ael
2 hrs
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Thanks, ael
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| agree |
Bertrand Leduc
3 hrs
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Thanks, Bertrand
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| neutral |
Nikki Scott-Despaigne
: "To put it simply" is a good solution. I'm less wild about the last part of your suggestion. It's not so much French-style as seeking French parallels. This is subtle and the risk is that the point be missed.
16 hrs
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Malta
12 yrs. experience translating EU stuff
Native in: English (Variants: UK, British) , Maltese
Works in: English to Maltese, Italian to Maltese, French to Maltese, and 3 more.
In simple French, to put it simply in French
France
Tracking the right turn of phrase
Native in: English (Variant: British)
Works in: French to English, English, French
using French political references for simplicity's sake
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Note added at 1 day1 hr (2014-05-17 22:06:37 GMT)
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Sorry, that "u" should be capitalised: "Using..."
Discussion
The author wants to be understood by his readers so he uses terms/party names people in France are familiar with:
FN = Front National
UMP = Union pour un mouvement populaire
Needless to say, you won't find these parties in other countries (at least not under these names).