I'm in Sherman Oaks, so very close to you. You said that you had multiple offers. Are any of them within $7,000 of the one that you want to accept? If so, it may not be in your best interest to cover them.
It is likely that your buyer doesn't have the funds to cover the costs, so reducing your price may not work. They will still need help.
A couple of things to make sure of. Before you accept the offer, make sure that the buyer has a preapproval... not a prequalification. Second, if you think any of the other offers you have may have a stronger financial position, and their offer number would be acceptable to you, get them to agree to be in a back-up position. Then go back to the offer you like the best and negotiate from there. If the deal falls through, then move on to the next offer.
If you want to talk about this, feel free to call me at 818-728-1100. Alternatively, you can mail me at firstname.lastname@example.org.
CA BRE# 01815608