Final answer:
To simplify the expression 53 - 23(5x - 1), the distributive property is applied, yielding 76 - 115x after combining like terms.
Step-by-step explanation:
The student's question involves simplifying the expression 53 - 23(5x - 1). To solve the problem, we must use the distributive property to multiply -23 by both 5x and -1. This gives us the following steps:
- 53 - 23(5x) + 23
- 53 - 115x + 23
- Combine like terms: 76 - 115x
To simplify the given expression, we first apply the distributive property by multiplying -23 with 5x and -1 separately. This yields -115x (from -23 × 5x) and +23 (from -23 × -1). We then add 23 to the initial 53, which results in 76. Therefore, after combining these steps, the final simplified expression is 76 - 115x.
It's important to check that the signs are correct and that the answer is reasonable; in this case, the expression is correctly simplified and the signs are accurate.