To solve the equation \(1 - 8x = 1 - 6x - 2x\), we need to simplify both sides and then isolate the variable \(x\). Notice that the right side of the equation can be simplified by combining like terms. Once simplified, we can compare both sides to find the value of \(x\).
Step 1: Simplify the Equation
The given equation is \(1 - 8x = 1 - 6x - 2x\). First, simplify the right side by combining like terms:
\[ 1 - 6x - 2x = 1 - 8x \]
Step 2: Compare Both Sides
After simplification, the equation becomes:
\[ 1 - 8x = 1 - 8x \]
Step 3: Analyze the Equation
Since both sides of the equation are identical, this indicates that the equation is true for all values of \(x\). Therefore, there is no specific solution, and \(x\) can be any real number.
Final Answer
The solution is that \(x\) can be any real number. There is no restriction on the value of \(x\). Thus, the solution is:
\[
\boxed{\text{All real numbers}}
\]