The equation \(7x + 3 = 7x + 3\) suggests that both sides of the equation are identical. This means that the equation is true for any value of \(x\).
In terms of solving for \(x\), you can subtract \(7x\) from both sides:
\[ 7x + 3 - 7x = 7x + 3 - 7x \]
This simplifies to:
\[ 3 = 3 \]
Since this statement is always true, the solution set is all real numbers. Thus, any value of \(x\) will satisfy the equation.