To solve the equation \(7x = 3 + 4x\), we need to isolate the variable \(x\). We can do this by moving all terms involving \(x\) to one side of the equation and the constant terms to the other side. Then, we can solve for \(x\).
Step 1: Move all terms involving \(x\) to one side
Starting with the equation:
\[ 7x = 3 + 4x \]
Subtract \(4x\) from both sides to isolate the terms involving \(x\):
\[ 7x - 4x = 3 \]
\[ 3x = 3 \]
Step 2: Solve for \(x\)
Divide both sides by 3 to solve for \(x\):
\[ x = \frac{3}{3} \]
\[ x = 1 \]