1. The problem is to solve the equation $55x + 5 = 0$ for $x$ and then check the value when $x = 1$. 2. The equation is linear and can be solved using the formula for linear equations: $ax + b = 0 \Rightarrow x = -\frac{b}{a}$. 3. Here, $a = 55$ and $b = 5$. Substitute these values into the formula: $$x = -\frac{5}{55} = -\frac{1}{11}$$ 4. So, the solution to the equation is $x = -\frac{1}{11}$. 5. Now, check the value of the left side of the equation when $x = 1$: $$55(1) + 5 = 55 + 5 = 60$$ 6. Since $60 \neq 0$, $x = 1$ is not a solution to the equation. Final answer: The solution to $55x + 5 = 0$ is $x = -\frac{1}{11}$, and $x = 1$ does not satisfy the equation.