Nem szeretek veszíteni.

Because Hungarian usually doesn’t need a subject pronoun when the verb ending already shows who the subject is.

• szeretek = I like
• the ending -ek already tells you it is first person singular: I

So Nem szeretek veszíteni is completely natural.

You can add én if you want extra emphasis or contrast:

• Én nem szeretek veszíteni. = I don’t like losing.

That sounds more like you are contrasting yourself with someone else.

nem is the basic Hungarian word for not.

In a neutral sentence, it normally goes directly before the finite verb, so:

• nem szeretek = I do not like

So the sentence literally works like:

• Nem = not
• szeretek = I like
• veszíteni = to lose

If you moved nem elsewhere, the meaning or emphasis would change. For example, putting the negation with the second verb would suggest something more like I like not losing, which is a different idea.

This is about the Hungarian indefinite vs. definite conjugation.

• szeretek = I like in the indefinite conjugation
• szeretem = I like/love it in the definite conjugation

Hungarian uses the definite form when there is a definite direct object, such as:

• Szeretem a kávét. = I like the coffee.
• Szeretem ezt a dalt. = I like this song.

But in Nem szeretek veszíteni, the thing after szeretek is an infinitive (veszíteni, to lose), not a definite object. So the normal choice is:

• szeretek veszíteni

Because -ni is the Hungarian infinitive ending, the equivalent of English to + verb.

So:

• veszíteni = to lose

After szeretek, Hungarian normally uses an infinitive to express an activity:

• Szeretek olvasni. = I like to read / I like reading.
• Szeretek úszni. = I like to swim / I like swimming.
• Nem szeretek veszíteni. = I don’t like to lose / I don’t like losing.

This is very natural in Hungarian. English often uses an -ing form after like, but Hungarian uses the infinitive here.

It can mean both, depending on context.

With activities or general habits, it often corresponds to like or enjoy:

• Szeretek futni. = I like running.
• Szeretek zenét hallgatni. = I like listening to music.

With people, it often means love:

• Szeretem a családomat. = I love my family.

So in Nem szeretek veszíteni, the sense is the more everyday like/enjoy meaning, not a strong emotional love meaning.

Yes, Hungarian word order is flexible, but the version you have is the most neutral and standard one.

• Nem szeretek veszíteni. = neutral, natural

You can change the order for emphasis, for example:

• Veszíteni nem szeretek.

That puts special emphasis on losing, roughly like As for losing, I don’t like it.

So yes, other orders are possible, but for a learner, Nem szeretek veszíteni is the best default pattern.

A few useful pronunciation points:

• sz is pronounced like English s
• Hungarian s by itself is pronounced like English sh
• é is a long vowel, roughly like the vowel in say, but kept pure
• í is a long ee sound, like in see
• Stress in Hungarian is always on the first syllable of each word

So roughly:

• szeretek ≈ SEH-reh-tek
• veszíteni ≈ VEH-see-teh-nee

And the sentence has stress like this:

• NEM SZEretek VEszíteni

Yes. veszíteni is the normal verb for to lose, especially in the sense of:

• losing a game
• losing a competition
• being defeated
• suffering a loss

So Nem szeretek veszíteni is exactly the kind of sentence you would say about not liking to lose in games, sports, arguments, and so on.

You may also meet elveszíteni, which often means to lose in the sense of misplacing or losing something:

• Elveszítettem a kulcsomat. = I lost my key.

But in your sentence, the simple veszíteni is perfectly natural.