Solve the equation by simplifying both sides and isolating the variable.
22.) 2x+3x=5
23.) 10x-3x=20+1
24.) 2(x-4)=2
25.) 1/3(x+6)=1
26.) 4=2/3x+9+1/3x
27.) 14=-2(4x+5)
28.) 17=2(2x+9)
29.) 5x-8x=18
30.) 2(x+5)+3x=0

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)