First you can print the coupon for $5/1 Rug Doctor™ Machine Rental to save on the machine rental itself. I think the rental is about $22 - $25 at Publix.
Then grab the Food Lion coupon for $3/1Rug Doctor Oxy-Steam or Pet Formula Carpet Cleaner 48oz (exp 7/25) and pair it with the $3/1 Rug Doctor cleaning product 17oz or larger over on their website.
You will score a total of $11 savings on the machine and cleaner. That is a nice discount and will surely help you keep your cleaning costs as low as possible!