Final answer:
To find an equivalent expression for 8.6(x - 1) + 8x, distribute 8.6 across the terms in the parentheses and combine like terms with 8x, resulting in the simplified expression 16.6x - 8.6.
Step-by-step explanation:
The expression given is 8.6(x − 1) + 8x. To find an equivalent expression, we need to distribute the 8.6 across the terms inside the parentheses and then combine like terms with 8x. Let's expand the terms step by step:
- First, multiply 8.6 by x, which gives us 8.6x.
- Next, multiply 8.6 by −1, resulting in −8.6.
- Now, combine 8.6x with 8x, giving a total of 16.6x since 8.6x + 8x = 16.6x.
- Finally, add the constant term −8.6 to the result from the previous step.
Therefore, the simplified equivalent expression is 16.6x − 8.6.