Answer:
To simplify this expression, we can use the distributive property of multiplication over addition/subtraction to remove the parentheses:
(4.5x − 5) − (3.5x − 10)
= 4.5x - 5 - 3.5x + 10 (distributing the negative sign to the second term in parentheses)
= (4.5x - 3.5x) + (10 - 5) (grouping like terms)
= 1x + 5
= x + 5
Therefore, (4.5x − 5) − (3.5x − 10) simplifies to x + 5.