Final answer:
The equivalent expression to 9(2x - 3) + 5x + 17 is obtained by distributing the 9, combining like terms, and adding constants to get 23x - 10. Hence, the answer is B. 23x - 10.
Step-by-step explanation:
The student is asked to select the equivalent expression to 9(2x - 3) + 5x + 17. To solve this, we need to apply the distributive property to the first term and then combine like terms:
- Distribute the 9 into the parentheses: 9 × 2x becomes 18x, and 9 × (-3) becomes -27.
- Combine the results of the distribution with the rest of the equation: 18x - 27.
- Add the 5x from the original expression to the 18x, resulting in 23x.
- Add the two constants -27 and 17, which results in -10.
This leads to the final simplified expression: 23x - 10.
Therefore, the answer choice equivalent to the given expression is B. 23x - 10.