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

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Answer 1 · 2016-10-03T09:53:22

$53 x + 53$ $53x+53$

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

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

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

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

= $26 x + 26 + 27 x + 27 \leftarrow$ $26x+26 +27x+27" "larr$ simplify

= $53 x + 53$ $53x +53$

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