Question

Expand & simplify

4
(
x
+
5
)
+
6
(
x
+
5
)

Answer 1

10x +50

Explanation:

4( x+5) + 6(x+5)

Distribute

4x+20 +6x+30

Combine like terms

4x+6x + 20 + 30

10x+50

Answer 2

`\huge\text{Hey there!}`

`\large\boxed{\mathsf{4(x + 5) + 6(x + 5)}}`

`\large\boxed{\mathsf{= 4(x) + 4(5) + 6(x) + 6(5)}}`

`\large\boxed{\mathsf{= 4x + 20 + 6x + 30}}`

`\huge\text{COMBINE the LIKE TERMS}`

`\large\boxed{\mathsf{= (4x + 6x) + (20 + 30)}}`

`\large\boxed{\mathsf{= 4x + 6x + 20 + 30}}`

`\large\boxed{\mathsf{= 10x + 50}}`

`\huge\text{Therefore, your answer is: \boxed{\mathsf{10x + 50}}}\huge\checkmark`

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