I can tell just by looking without doing any work that equation 2 has more solutions then equation.
The reason I say this is because |5x - 6| = -41 has no solutions because an absolute value cannot equal a negative number. Equation 2 is going to have 2 solutions, and they would come from these 2 equations : 7x + 13 = 27 and
-(7x + 13) = 27