To complete the equation so that it has no solution, we need to make sure that both sides simplify to contradictory statements.
Let's start with the original equation:
\[ -7x - 12 = _x + 12 \]
If we replace \(_x\) with something that will make the equation impossible to satisfy, we can use a specific choice. For instance, we could set it up so that the coefficients of \(x\) are equal but the constant terms do not satisfy the equation.
Let's choose:
\[ -7x - 12 = -7x + 5 \]
Now we have:
\[ -7x - 12 = -7x + 5 \]
Subtracting \(-7x\) from both sides gives:
\[ -12 = 5 \]
This statement is clearly false, meaning that the equation has no solution.
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