Question

Simplify 10(x + 4) + 15(x + 1)

Answer 1

`\huge{ \fbox{ \sf{25x + 55}}}`

Explanation:

`\star{ \sf{ \: \: 10(x + 4) + 15(x + 1)}}`

`\text{Step \: 1 \: : Distribute \: 10 \: through \: the \: parentheses}`

`\mapsto{ \sf{10x + 40 + 15(x + 1)}}`

`\text{Step \: 2 \: : Distribute \: 15 \: through \: the \: parentheses}`

`\mapsto{ \sf{10x + 40 + 15x + 15}}`

`\text{Step \: 3 \: : Collect \: like \: terms}`

`\text{Like \: terms \: are \: those \: which \: have \: the \: same \: base}`

`\mapsto{ \sf{10x + 15x + 40 + 15}}`

`\mapsto{ \sf{25x + 40 + 15}}`

`\text{Step \: 4 \: : Add \: the \: numbers : 40 \: and \: 15}`

`\mapsto{ \sf{25x + 55}}`

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Answer 2

25x + 55

Explanation:

10(x + 4) + 15(x + 1)

Distribute

10x + 40 + 15x +15

Combine like terms

25x + 55