−6(1 + 6x) < 6(1 − 5x)

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

1. Distribute the -6 on the left side and the 6 on the right side: -61 - 66x < 61 - 65x -6 - 36x < 6 - 30x

2. Rearrange the inequality to isolate x terms on one side and constants on the other: -36x + 30x < 6 + 6 -6x < 12

3. Divide both sides by -6 to solve for x. Remember, when you divide or multiply an inequality by a negative number, the direction of the inequality sign changes: x > -2

So, the solution to the inequality -6(1 + 6x) < 6(1 - 5x) is x > -2.