To solve the equation \(130 = 7 + 20x + 3\), we can start by simplifying the right-hand side.
First, combine the constants:
\[ 7 + 3 = 10 \]
Now, substitute that back into the equation:
\[ 130 = 10 + 20x \]
Next, subtract 10 from both sides of the equation:
\[ 130 - 10 = 20x \]
This simplifies to:
\[ 120 = 20x \]
Now, divide both sides by 20 to solve for \(x\):
\[ x = \frac{120}{20} = 6 \]
Thus, the value of \(x\) is:
\[ \boxed{6} \]