Final answer:
The simplification of 7 (5x - 1) results in 35x - 7, after distributing the 7 to both 5x and -1. This corresponds to (option 2) in the provided choices.
Step-by-step explanation:
The simplified version of the expression 7 (5x - 1) is achieved by distributing the 7 to both terms inside the parentheses. Following the rule that when two positive numbers multiply, the result is positive, and when a positive and a negative number multiply, the result is negative, we get:
Multiply 7 and 5x to get 35x.
Multiply 7 and -1 to get -7.
Therefore, the simplified expression is 35x - 7, which corresponds to (option 2).
Always remember to check your work to ensure the answer is reasonable. In this case, since we are dealing with multiplication, the rule to eliminate terms does not apply because there are no like terms to combine.