Permanent mouse speed change in 16.04 [duplicate]

The easiest way would be adding the command to Startup application, first we'll wrap the command with bash script.

touch speedmouse.sh

Then, append your command:

echo "xinput set-prop 13 276 0.7" >> speedmouse.sh

Press Alt + F2, type gnome-session-properties to launch startup application. Press Add to create new startup:

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You should all set now.