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A parking garage near Carmen's house is $4$ stories tall. There are $22$ open parking spots on the first level. There are $4$ more open parking spots on the second level than on the first level, and there are $8$ more open parking spots on the third level than on the second level. There are $17$ open parking spots on the fourth level. How many open parking spots are there in all?$\newline$​$\_\_\_\_\_\_\_\_\_$ open parking spots