Final answer:
The expression 7x − 5(x − 3) − x simplifies to x + 15. The original expression is simplified by distributing the -5 and combining like terms. After simplification, verifying with a value for x ensures the solution is reasonable.
Step-by-step explanation:
To simplify the expression 7x − 5(x − 3) − x, follow these steps:
- Distribute the -5 across the terms inside the parentheses: -5 * x + 15.
- Combine like terms by adding or subtracting the x terms and constants.
The simplified expression becomes:
7x - 5x + 15 - x = (7x - 5x - x) + 15
= 1x + 15
= x + 15.
To check if the answer is reasonable, substituting any value for x in the original expression and the simplified one should yield the same result.