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Distro for a Lenovo Thinkpad x140e?
(sopuli.xyz)
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This certainly isn't as lightweight as possible, but it's more usable day to day: Lubuntu.
It takes ~400MB on idle and feels super quick and responsive on my 2009 Core 2 Duo laptop. The heaviest thing in your install is gonna be Spotify.
Similarly, assuming OP is using Linux Mint Cinnamon Edition, they could try out the much lighter Xfce Edition.
https://www.linuxmint.com/download.php
I think i am using Cinnamon. Is there a way to switch to Xfce without a reinstall?
https://old.reddit.com/r/linuxmint/comments/np33e1/want_to_switch_from_mint_cinnamon_to_mint_xfce/h02yw8t/
Looks like i am already running Xfce.
I have used Linux Lite which also uses XFCE, but I found the system to feel far less responsive than Lubuntu on my old laptop. Ymmv though.