Question

How do you simplify `2[3(3x +1)+ 2( 2x +5)] + 3[1+ 4(x+2)+5x]`?

Answer 1

`53x+53`

Explanation:

Notice that there are 2 terms.
Start my removing the brackets within each term using the distributive law

`color(red)(2[3(3x +1)+ 2( 2x +5)] )+ color(blue)(3([1+ 4(x+2)+5x]`

=`color(red)(2[9x +3+ 4x +10)] + color(blue)(3[1+ 4x+8+5x]" "larr`simplify

=`color(red)(2[13x +13)] + color(blue)(3[9x+9])" "larr`remove brackets

=`26x+26 +27x+27" "larr` simplify

=`53x +53`