We will use the distributive property, where [tex]a(b+c) = ab+ac[/tex] and [tex]a(b-c) = ab-ac[/tex].
[tex]7(x+7)-3(x+3)[/tex]
[tex]=7x+49-(3x+9)[/tex]
[tex]=4x+40[/tex]
Therefore, the simplified expression is 4x+40.