Final answer:
To solve the equation 414 - 13x = -34, subtract 414 from both sides, and then divide both sides by -13 to find x = 34.5.
Step-by-step explanation:
To solve the equation 414 - 13x = -34, we need to isolate the variable x. First, we can subtract 414 from both sides of the equation to get -13x = -448. Then, we can divide both sides by -13 to find that x = 34.5. Therefore, the solution to the equation is x = 34.5.