Simplifying Expressions

Simplify and justify each step: 4(3x+9x+1)+2(x+3)

• Combine like terms

4(12x+1)+2(x+3)

• Distribute through parentheses

48x+4+2x+6

• Combine like terms

50x+10

Simplify: 4(2x+y)-3(3x-4y)

• Distribute

4(2x)+4y-3(3x)+3(4y)

• multiply

8x+4y-9x+12y

• Combine like terms

16y-x