1. **State the problem:** Solve the inequality $6x + 2 + 6x < 14$. 2. **Combine like terms:** $6x + 6x = 12x$, so the inequality becomes: $$12x + 2 < 14$$ 3. **Isolate the variable term:** Subtract 2 from both sides: $$12x + \cancel{2} - \cancel{2} < 14 - 2$$ $$12x < 12$$ 4. **Solve for $x$:** Divide both sides by 12: $$\frac{12x}{\cancel{12}} < \frac{12}{\cancel{12}}$$ $$x < 1$$ 5. **Final answer:** The solution to the inequality is: $$x < 1$$ This means any value of $x$ less than 1 satisfies the inequality.