Bugspray and water -- everything else is a luxury item
I'm not much on camping, and when I do, it is usually out of the truck, so I end up taking more gear than is possible to carry.
You didn't say whether you would be camping near the vehicle or not, but if near it, here is a list of things that I took with me on a two week road trip a few years back.
Food for a week was be the following:
Pre cooked 1 lb vaccuum packages of hamburger -- found them at walmart -- (they were heat and eat, and made a very very good meal at the end of the day)
Pre cooked vacuum packages of rice (they had different types)
jello cups for desert
cans of mixed fruit
some granola/fruit bars to snack on
tea bags and coffee bags (I actually brought instant coffee, and couldn't drink it, but the coffee bags are good)
cocoa
season salt, and a seasoning call "Nature's Seasoning"
beef and chicken bullion cubes
Gatorade drink mix (save one or two of the bottles from the water)
I have a burner that attaches directly to the top of a small propane bottle (brought three of the bottles)
I brought a very small skillet (six inch)
I brought a kettle
I brought a bowl
I brought a soup mug
several spoons and forks
two rolls of paper towls
I had two boxes of gallon sized zip lock bags to store the opened food
I kept almost all of the food stuffs and cooking utensiles in a plastic rubbermaid box with the lid on it.
I brought a roll of trash bags (used one bag for trash, the other for stinky clothes)
Hygeine
couple of wash cloths
a box of individually wrapped Purell sanitizing wipes (bought them at sams, and they worked great to keep your hands and face clean and fresh, and worked wonders on the hot spots)
bar of soap
toothbrush and toothpaste
deodorant
My list usually includes a case or two of bottled water, a well insulated ice chest filled to the rim with ice, and a waterjug type cooler, that I also fill with ice and water.
Clothes
two pair of convertible pants (the kind that zip off into shorts)
A hoody of some sort
my army issue gortex jacket
a shirt per day
pair socks per day
pair underwear per day
two pair of good boots/shoes that I changed everyday
Equipment
tent
thermal blanket
inflatable airmattress
sleeping bag
indian weave blanket for inside the sleeping bag for additional insulation
and a folding chair
Like I said, more than I could carry, but being that I was by myself, and near the vehicle, I wanted to be certain that I would be comfortable.