Write the equation represented in each diagram below on your paper. For each part, simplify as much as possible and then solve for $x$. Be sure to record your work on your paper.  

1. 

   Hint (a):

   Write the original equation.
   $2x+3-(x-1)=2x-2-(-x)$

   Step 2 (a):

   Flip subtraction to addition.
   $2x+3+(−x)+1=2x+(−2)+x$

   Step 3 (a):

   Remove zero pairs.
   $2x+(−x)+3+1=2x+x+(−2)$

   Step 4 (a):

   Combine like terms.
   $x+3+1=2x+x+(−2)$

   Step 5 (a):

   Remove an $x$-tile from both sides.
   $x+4=3x−2$

   Step 6 (a):

   Add $2$ to both sides.
   $4=2x−2$

   Step 7 (a):

   Divide by $2$ on both sides.
   $6=2x$

   Answer (a):

   $3=x$

2. 

   Hint (b):

   Follow steps similar to part (a).