Final answer:
To solve for x in the equation 4 - (x + 2) -³(x + 4), follow these steps: distribute the exponent, simplify, isolate the variable, solve for x, and check the solution.
Step-by-step explanation:
To solve for x in the equation 4 - (x + 2) -³(x + 4), we can follow these steps:
- Distribute the exponent of -³ to the terms inside the parentheses
- Simplify the equation by combining like terms
- Isolate the variable by moving constants to one side of the equation
- Solve for x by applying the necessary operations
- Check your solution by substituting the value of x back into the original equation
After solving the equation, the answer is x > -9 (Option D).