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Bring a TON of black heavy mill trash bags. Their super light and can be used for many things. You can cut the sides open to make a light duty tarp to keep processed firewood dry in a storm, improvised rain jackets etc etc.
Lots of cordage. I use 25-35 lbs Mason line. A spool of 300 or 500 feet is super small and it's strong enough got almost all applications. I will usually bring 50 ft of paracord for the "just in case". The paracord can also be used to hang your food if your in bear territory.
Tent.
Sleeping bag.
Sleeping pad (a thermarest foam one is fine ). They are bulky but very light, so tie to bottom of pack.
Bring layers of clothes. No cotton, bring synthetics so they'll dry faster. Plenty of socks.
A multitool will also help a lot. (Like a leatherman wave, or supertool 300).
Invest in a decent belt, as your knife and multitool will ride on it. I recommend the " Sog Tactical Belt" from Walmart.
Comfortable rucksack.
For food, freeze-dried stuff will be easiest. But you can figure this out separately.
You need a cooking pot. For solo use, get a GSI Ketalist. Works great for me. And comes when nested bowl. Also, a frying pan may be useful depending on what you bring. Also a thin metal grill will help YMMV.
A whistle and signal mirror.
A mini camp stove. Like a msr pocket rocket, but the cheapy ones on amazon will do you well for 5 bucks.
A nalgene bottle, with a nested metal cup. A water filter(a sawer mini) and some AquaTabs just in case. Bring a camelpack to store a few litres so your not constantly filtering.
Bring a decent amount of tinfoil folded up. You will find uses.
A fire kit. Bic lighter, light my fire fire steel, a couple tea lights, and a little bit of keroscene in a water bottle (=~ 200mL).
Titanium spork
A drysack to keep your food on.
Some things to keep your mind busy during the day (I.e. fishing gear, 22lR pistol etc). A hammock may also make a nice addition.