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]