Answer:
To simplify the expression, we can use the rules of order of operations, which dictate that we should perform operations in the following order:
Perform any calculations inside parentheses or other grouping symbols, working from the innermost set of parentheses to the outermost.
Perform any exponents or radicals.
Perform all multiplications and divisions, working from left to right.
Perform all additions and subtractions, working from left to right.
Applying these rules to the expression -5(-3 + 5x), we get:
Perform any calculations inside parentheses or other grouping symbols, working from the innermost set of parentheses to the outermost:
$-5(-3 + 5x)$
$-5(-3) + -5(5x)$
$15 + -5(5x)$
Perform any exponents or radicals:
$15 + -5(5x)$
Perform all multiplications and divisions, working from left to right:
$15 + -5(5x)$
$15 + -25x$
Perform all additions and subtractions, working from left to right:
$15 + -25x$
Therefore, the simplified expression is 15 + -25x.
Explanation: