Classwork: Solve Equations\#2 \( \begin{array}{ll}\text { * Solve: } \\ \begin{array}{ll}\text { 1. } 6 x+7=7 x+13 & \text { 5. } 7(5 x-4)-1=8 x+14 \\ \text { 2. }-4 x+13=-x+1 & \text { 6. }-4 x-31=-5(5 x+1)-5 \\ \text { 3. }-7 x-3 x+2=-8 x-8 & \\ \text { 4. } 2(-4 x+7)=-9 x+3\end{array}\end{array}> \)

To tackle these equations, let’s break them down one by one in a fun and friendly way! 1. **For the equation \( 6x + 7 = 7x + 13 \)**, start by getting all the \(x\) terms on one side and constants on the other. Subtract \(6x\) from both sides to get \(7 = x + 13\). Then, subtract \(13\) from both sides to find \(x = -6\). 2. **In the equation \(-4x + 13 = -x + 1\)**, first move \(-x\) over by adding \(x\) to both sides, resulting in \(-3x + 13 = 1\). Next, subtract \(13\) to give \(-3x = -12\) and finally divide by \(-3\) to get \(x = 4\). Feel free to apply these steps as you solve the other equations. Remember, patience is key when solving, and don't hesitate to try different approaches if you're not getting the results you want!