b. \( -6 x-7=-1(-9+2 x) \)

To solve the equation \( -6x - 7 = -1(-9 + 2x) \), first simplify the right side. Distributing -1 gives you \( -6x - 7 = 9 - 2x \). Now, add \( 2x \) to both sides: \( -6x + 2x - 7 = 9 \), which simplifies to \( -4x - 7 = 9 \). Next, add 7 to both sides: \( -4x = 16 \). Finally, divide by -4 to find \( x = -4 \). Now that you've found \( x = -4 \), remember to check your solution by substituting it back into the original equation. This step ensures your calculations are correct and that the solution is valid. Not only does it verify your work, but it also helps reinforce your understanding of solving linear equations. Keep practicing, and soon solving equations will feel like a piece of cake!