To solve the equation \(2 (x + 8) = 2x + 8\), we will use various properties. Here are the steps filled in according to your instructions:
Step 1: Use the multiplication property of equality to distribute the 2 on the left side of the equation.
Response area: \(2x + 16 = 2x + 8\)
Step 2: Now, use the subtraction property of equality to eliminate \(2x\) from both sides.
Response area: \(16 = 8\)
Now we analyze the result of the second step. Since \(16 = 8\) is a false statement, it indicates that there are no solutions to the original equation.
Thus, the final answers are: There is/are No solution(s).