Both of these have the same number of solutions (which is 2)
Remember that |5x + 6| means "the absolute value of the expression '5x + 6'", so in this case, 5x + 6 could equal 41 or -41 since the absolute value would "strip away" the positive or negative sign and leave just the number
So, if you solve: 5x + 6 = 41 5x = 41 - 6 = 35 x = 35 / 5 = 7