Math  /  Algebra

Question23. 3(x+7)=3(x+7)=

Studdy Solution

STEP 1

What is this asking? We need to simplify the expression by distributing the 3 to both terms inside the parentheses. Watch out! Don't forget to multiply the 3 by *both* the xx and the 7!

STEP 2

1. Distribute the 3

STEP 3

We're starting with 3(x+7)3(x + 7).
Remember, this really means 3(x+7)3 \cdot (x + 7).

STEP 4

Let's distribute that **3** to both the **xx** and the **7** inside the parentheses.
Distributing means we multiply the **3** by each term inside the parentheses.
Think of the **3** as a superhero sharing its power with both the **xx** and the **7**!

STEP 5

First, we multiply 33 by xx, which gives us 3x=3x3 \cdot x = 3x.

STEP 6

Next, we multiply 33 by 77, which gives us 37=213 \cdot 7 = 21.

STEP 7

Now, let's bring those two results together with the correct sign from the original expression, a plus sign!
This gives us 3x+213x + 21.
Boom!

STEP 8

3x+213x + 21

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