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;
\(3(x+4) + 7x + 13\)
Using distributive property: \(a\cdot (b+c) = a\cdot b + a\cdot c\)
\(3x +12 + 7x+ 13\)
Combine like terms;
\(10x + 25\)
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, \(10x + 25\)
