−6(1 + 2x) ≥ 6(2x − 1) + 2x

Sure, let's solve this inequality step by step:

1. Distribute the -6 on the left side and the 6 on the right side: -61 - 62x ≥ 62x - 61 + 2x This simplifies to: -6 - 12x ≥ 12x - 6 + 2x

2. Combine like terms on both sides: -6 - 12x ≥ 14x - 6

3. Add 12x to both sides to get the x terms on one side: -6 ≥ 26x - 6

4. Add 6 to both sides to isolate the x term: 0 ≥ 26x

5. Divide both sides by 26 to solve for x: 0 ≥ x

So, the solution to the inequality is x ≤ 0.