Simplify 2(x - 4) + 7(x + 2).
step by step

2(x - 4) + 7(x + 2)

mutiply the first bracket by 2

(2)(x)=2x

(2)(-4)= -8

mutiply the second bracket by 7

(7)(x)=7x

(7)(2)= 14x

2x-8+7x+14

2x+7x-8+14 ( combine like terms)

9x+6 or 6+9x

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.