This python script using the [pynput][1] package achieves the desired goal.

 import time
 from pynput import mouse, keyboard
 from pynput.keyboard import Key, Controller
 
 keyboard = Controller()
 
 prevX = -1
 def on_move(x, y):
 global prevX
 if prevX == -1:
 prevX = x
 elif prevX < x:
 keyboard.press(Key.right)
 keyboard.release(Key.right)
 elif prevX > x:
 keyboard.press(Key.left)
 keyboard.release(Key.left)
 if prevX != x: 
 prevX = x
 
 listener = mouse.Listener(
 on_move=on_move)
 listener.daemon = True
 listener.start()
 
 while True:
 time.sleep(1)


 [1]: https://pynput.readthedocs.io/en/latest/index.html