1. The problem asks to write an equivalent expression to $x - 6y + 5$. 2. Let's analyze each choice: - A: $5(x - 6y + 1)$ expands to $5x - 30y + 5$, which is not equivalent to $x - 6y + 5$. - B: $x - (-6y) + 5$ simplifies to $x + 6y + 5$, which is not equivalent to $x - 6y + 5$. - C: $x + 5 + 6y$ rearranges terms but changes the sign of $6y$, so it is not equivalent. - D: $x + 5 + (-6y)$ rearranges terms but keeps the sign of $-6y$, so it is equivalent to $x - 6y + 5$. 3. Therefore, the correct equivalent expression is choice D. Final answer: $x - 6y + 5 = x + 5 + (-6y)$