Write the following expressions in two ways, one with parentheses and one without. For example, $4(x-3)$ can be written $4x-12$.  

1. A number reduced by $3$, then multiplied by $2$.

   Help (a):

   Reducing by $3$ means you first need to subtract $3$ from a number. Call the unknown number $x$.
   Then you will multiply that value by $2$.

   Hint 2 (a):

   A number reduced by $3$: $(x-3)$

   Hint 3 (a):

   Then multiplied by $2$: $2(x-3)$

   More Help (a):

   Use the Distributive Property to multiply every term inside the parentheses by $2$.

   Answer (a):

   $2x-6$

2. A number increased by $7$, then multiplied by $5$.

   Help (b):

   See part (a).

3. Ten times a number, then add twenty.

   Help (c):

   Ten times a number is $10x$.
   Then add twenty to that to get: $10x+20$

   Hint 2 (c):

   Since $10$ is a factor of both terms, you can factor out a $10$ to get the following expression: $10(x+2)$

   More Help (c):

   Check your answer by using the Distributive Property.