1. The problem is to solve the equation $$3 + x - 6 (\Gamma - 7) = -2$$ for $x$. 2. From the provided steps, it seems $\Gamma$ was omitted or treated as such. The equation is simplified incorrectly. 3. Let's clarify and solve step-by-step assuming $\Gamma$ is a variable: $$3 + x - 6 (\Gamma - 7) = -2$$ 4. Distribute $-6$: $$3 + x - 6 \Gamma + 42 = -2$$ 5. Combine like terms: $$x - 6 \Gamma + 45 = -2$$ 6. Subtract 45 from both sides: $$x - 6 \Gamma = -2 - 45$$ $$x - 6 \Gamma = -47$$ 7. Solve for $x$: $$x = 6 \Gamma - 47$$ 8. Without a value for $\Gamma$, this is the general solution. 9. However, provided steps show a simplified solution $x=1$ which only holds if $\Gamma$ is such that the initial expression simplifies accordingly. Final answer is $$x = 6 \Gamma - 47$$ given the original equation and assuming $\Gamma$ is a variable.