Final answer:
To simplify the expression 2(x + 7) - 18x + 4/5, you distribute the 2 across (x + 7), then combine like terms to get the equivalent expression, which is -16x + 14 + 4/5.
Step-by-step explanation:
The expression that is equivalent to 2(x + 7) - 18x + \(\frac{4}{5}\) can be simplified through the distributive property and combining like terms. First, distribute the 2 into the parentheses:
2(x) + 2(7) - 18x + \(\frac{4}{5}\)
= 2x + 14 - 18x + \(\frac{4}{5}\).
Next, combine like terms by subtracting 18x from 2x:
(2x - 18x) + 14 + \(\frac{4}{5}\)
= -16x + 14 + \(\frac{4}{5}\).
So the equivalent expression is -16x + 14 + \(\frac{4}{5}\).