neigen zu
to tend to
To have a tendency or disposition to do something specific or to show a certain quality.
Bei Stress neige ich dazu, zu viel Schokolade zu essen.
When I'm stressed, I tend to eat too much chocolate.

to tend / to tilt
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to tend to
To have a tendency or disposition to do something specific or to show a certain quality.
Bei Stress neige ich dazu, zu viel Schokolade zu essen.
When I'm stressed, I tend to eat too much chocolate.

To express a tendency, 'neigen' (to tend) is used with the preposition 'zu' (to). If a noun follows, it is in the dative. If an action follows, you use the construction 'dazu neigen, etwas zu tun' (to tend to do something).
Er neigt zu Übertreibungen.
He tends to exaggerate.
The expression 'sich dem Ende neigen' (to draw to a close) is fixed. It always requires the reflexive pronoun 'sich' and the dative object 'dem Ende'. The subject is the thing that will soon end.
Der Sommer neigt sich langsam dem Ende zu.
Summer is slowly drawing to a close.
In the meaning 'etwas beugen' (to bend something), 'neigen' (to tilt) is almost always used with body parts as the object. The most common combinations are 'den Kopf neigen' (to tilt one's head) and 'den Oberkörper neigen' (to bend one's upper body).
Sie neigte den Kopf und hörte aufmerksam zu.
She tilted her head and listened attentively.
In the meaning 'sich verbeugen' (to bow), the verb is always reflexive ('sich neigen'). Often, 'vor' plus the dative is used to indicate whom someone is bowing to.
Nach dem Konzert neigten sich die Musiker vor dem Publikum.
After the concert, the musicians bowed before the audience.
to end
'enden' and 'sich dem Ende neigen' (to draw to a close) both describe that something will not continue much longer. 'enden' directly names the conclusion: something is then over. 'sich dem Ende neigen' means that something is not quite over yet, but will end soon. This fixed expression sounds somewhat calmer and often a little more elevated than the simple 'enden'. Learners may confuse them because both talk about the end. The important point is: 'enden' states the end itself, while 'sich dem Ende neigen' describes the time shortly before it.

Der Sommer neigt sich langsam dem Ende.
The summer is slowly drawing to a close.
Die Besprechung endet um fünf Uhr.
The meeting ends at five o'clock.