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three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen

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First, translate the expression into mathematical form.

3(x + 4) + 7x + 13

Distribute
3x + 12 + 7x + 13

Collect Like Terms
10x + 25

That is your simplified expression.

Answer:

Let x be the number.

Given the statement: Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen.

" sum of a number and four" translated to x + 4

"Three sets of a sum of a number and four" translated to 3(x+4)

"sum of seven times the same number and thirteen" translated to 7x + 13

then;

the expression for the given statement become;

[tex]3(x+4) + 7x + 13[/tex]

Using distributive property: [tex]a\cdot (b+c) = a\cdot b + a\cdot c[/tex]

[tex]3x +12 + 7x+ 13[/tex]

Combine like terms;

[tex]10x + 25[/tex]

Therefore, the simplified expression for Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen. is,  [tex]10x + 25[/tex]

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