1. The problem asks to write the sentence "The product of 3 and the sum of -69 and a number gives -24" as an equation using $x$ to represent the number. 2. The phrase "product of 3 and the sum of -69 and a number" translates to multiplication: $3 \times (-69 + x)$. 3. The sentence says this product "gives -24", so the equation is: $$3(-69 + x) = -24$$ 4. Let's check the options given: - $3(-69 + x) = -24$ (correct) - $3(-69) + x = -24$ (incorrect, sum inside parentheses is lost) - $3x(-69) = -24$ (incorrect, multiplication order and grouping wrong) - $3x + (-69) = -24$ (incorrect, sum and product confused) 5. Therefore, the correct equation is: $$3(-69 + x) = -24$$