Find an expression which represents the sum of \( (10 x+10) \) and \( (7 x+10) \) in simplest terms. Answer Attempt 1 out of 2

To find the sum of \( (10x + 10) \) and \( (7x + 10) \), we combine the like terms. Start by adding the coefficients of \( x \): \( 10x + 7x = 17x \). Next, add the constant terms: \( 10 + 10 = 20 \). Therefore, the sum is: \[ 17x + 20 \] And that's the expression in its simplest terms! Now, let's see some interesting insights. When you combine like terms, you’re basically grouping terms that share something in common – in this case, \( x \)-terms and consistent numbers. This skill is super handy in algebra. You'll use it frequently to simplify expressions and solve equations! If you're enjoying this foray into algebra, check out some classic math resources! “Algebra for Dummies” is a fantastic book that breaks down concepts into digestible chunks, or you could explore online platforms like Khan Academy for interactive lessons.