The main purpose of this paper is to present the properties of the meromorphic solutions of complex difference equations of the form ∑ { J } α J ( z ) ( ∏ j ∈ J f ( z + c j ) ) = R ( z , f ( z ) ) , where { J } is a collection of all subsets of { 1 , 2 , … , n } , c j     ( j ∈ J ) are distinct, nonzero complex numbers, f ( z ) is a transcendental meromorphic function, α J ( z ) 's are small functions relative to f ( z ) , and R ( z , f ( z ) ) is a rational function in f ( z ) with coefficients which are small functions relative to f ( z ) .