You never get to the multiplication, you aren't actually assigning a variable there. You can't have a space around the =, you need:
some_variable=some_value
Next, if you want to assign a variable to the output of a command, you ned to use command substitution:
some_variable=$(some_command)
Or, the still supported but becoming deprecated backticks:
some_variable=`some_command`
So, what you wanted was:
some_variable=$(ls *somepattern* | xargs cat | wc -c)
But that would be much better done like this:
some_variable=$(cat *somepattern* | wc -c)
Once you have that, you can do:
another_variable=$(($some_variable * 10))
Finally, your error was caused because, as explained in the first section, your variable was empty, so you ended up running this:
$ another_variable = $(( * 10))
bash: * 10: syntax error: operand expected (error token is "* 10")