please so by multiplying binomials (x+6)(8x-x)

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Are you sure the second term in parentheses is 8x - x ? That is the same thing as 7x, which is not a binomial.

The binomial multiplication procedure you are probably supposed to be learning is often called by its abbreviation FOIL. You can read about it here:
http://www.algebrahelp.com/lessons/simplifying/foilmethod/