\begin{tabular}{c|c}$$ 7 x+2-2 $$ & solve for $$ x $$ \ \hline 0 & 4 \ \hline 3 & -1 \ \hline\end{tabular}

Question

UpStudy AI · Accepted Answer

To solve the equation $$ 7x + 2 - 2 = 0 $$, we first simplify the equation:

1. Combine like terms:
   $$
   7x + 2 - 2 = 7x + 0 = 7x
   $$
   So, the equation simplifies to:
   $$
   7x = 0
   $$

2. Now, divide both sides by 7 to isolate $$ x $$:
   $$
   x = \frac{0}{7} = 0
   $$

Next, we will check the values provided in the table to see if they satisfy the equation $$ 7x + 2 - 2 = 0 $$.

- For $$ x = 4 $$:
  $$
  7(4) + 2 - 2 = 28 + 2 - 2 = 28 \quad (\text{not } 0)
  $$

- For $$ x = 3 $$:
  $$
  7(3) + 2 - 2 = 21 + 2 - 2 = 21 \quad (\text{not } 0)
  $$

- For $$ x = -1 $$:
  $$
  7(-1) + 2 - 2 = -7 + 2 - 2 = -7 \quad (\text{not } 0)
  $$

The only solution for the equation $$ 7x + 2 - 2 = 0 $$ is $$ x = 0 $$. The values $$ 4 $$, $$ 3 $$, and $$-1$$ do not satisfy the equation.

Thus, the solution is:
$$
\boxed{0}
$$
The solution is $$ x = 0 $$.

\begin{tabular}{c|c}\( 7 x+2-2 \) & solve for \( x \) \\ \hline 0 & 4 \\ \hline 3 & -1 \\ \hline\end{tabular}