1. The problem states: "A number added to -11 amounts to -25." We need to write this as an equation using $x$ to represent the number. 2. The phrase "a number added to -11" translates to $x + (-11)$ or $x - 11$. 3. The phrase "amounts to -25" means the sum equals $-25$. 4. Therefore, the equation is: $$x - 11 = -25$$ 5. To solve for $x$, add 11 to both sides: $$x - 11 + 11 = -25 + 11$$ $$\cancel{x - 11} + 11 = -25 + 11$$ $$x = -14$$ 6. So, the number is $-14$. 7. Checking the options given: - $x - 25 = -11$ (incorrect) - $x = -11 + 25$ (incorrect) - $-11 + x = -25$ (correct form) - $-11 - 25 = x$ (incorrect) The correct equation is $-11 + x = -25$, and the solution is $x = -14$.