Step 1 :Combine like terms: \( -3x + 1 + 10x = x + 4 \) becomes \( 7x + 1 = x + 4 \)
Step 2 :Isolate x: \( 7x - x = 4 - 1 \) becomes \( 6x = 3 \)
Step 3 :Solve for x: \( x = \frac{3}{6} \) simplifies to \( x = \frac{1}{2} \)
Step 4 :\( \boxed{x = \frac{1}{2}} \)