1. **State the problem:** Solve the equation $$2x + \frac{1 - x}{4} = 3$$ and fully reduce the answer. 2. **Identify the formula and rules:** To solve linear equations with fractions, first eliminate the fraction by multiplying both sides by the denominator, then combine like terms and isolate the variable. 3. **Multiply both sides by 4 to clear the denominator:** $$4 \times \left(2x + \frac{1 - x}{4}\right) = 4 \times 3$$ which simplifies to $$4 \times 2x + (1 - x) = 12$$ 4. **Simplify the left side:** $$8x + 1 - x = 12$$ 5. **Combine like terms:** $$7x + 1 = 12$$ 6. **Subtract 1 from both sides:** $$7x = 12 - 1$$ $$7x = 11$$ 7. **Divide both sides by 7 to isolate x:** $$x = \frac{11}{7}$$ 8. **Final answer:** $$x = \frac{11}{7}$$ which is fully reduced. This means the solution to the equation is $x = \frac{11}{7}$.