Final answer:
The solution to the absolute value equation |7 - 13x| + 45 = 45 is x ≈ 0.5385.
Step-by-step explanation:
The student's question involves solving a simple absolute value equation. The equation given is |7 - 13x| + 45 = 45. To solve for x, we first need to isolate the absolute value expression on one side of the equation. Since adding 45 on both sides does not change anything, we get |7 - 13x| = 0. This means that the expression inside the absolute value must be equal to 0. Hence, we set 7 - 13x equal to 0 and solve for x:
7 - 13x = 0
-13x = -7
x = 7/13
x ≈ 0.5385
Therefore, the solution to the equation is approximately 0.5385.