Let S be the set of all real numbers except -1. Define * on S by a

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Let S be the set of all real numbers except -1. Define * on S by a * b = a + b + ab.
a. Show that * gives a binary operation on S.

b. Show that (S, *) is a group. 

c. Find the solution of the equation 2 * x * 3 = 7 in S.

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