Step by step
The question
Question: simplify 4(x + 6).
Simplify means: write it shorter, with the same value.
4(x + 6)
1 Open the brackets
The 4 in front of the bracket multiplies every part inside.
a(b + c) = ab + ac
So we write 4 times each part.
= 4(x) + 4(6)
4 times x is 4x.
4 times 6 is 24.
= 4x + 24
2 Check
Let's check.
We pick a small number for each letter: x = 2.
Any number works, and a small one keeps the sums easy.
We put it into the question.
Question: 4 × (2 + 6) = 4 × 8 = 32
Now into our answer.
Answer: 4 × 2 + 24 = 8 + 24 = 32
Both give 32.
Same value, so 4x + 24 is right!
Both give 32
Let's look back.
First: open the brackets.
Last: check.
Answer
= 4x + 24