Identify Like Terms: Identify like terms in the expression 10x + 4x. Reasoning: Like terms are terms that contain the same variables raised to the same powers. Here, both terms contain the variable x raised to the first power. Calculation: 10x and 4x are like terms.Combine Like Terms: Combine the like terms by adding their coefficients. Reasoning: To combine like terms, add the coefficients (the numerical parts) of the terms and keep the common variable part. Calculation: 10x + 4x = (10 + 4)x = 14xWrite Final Expression: Write the final simplified expression. Reasoning: After combining like terms, the expression is now in its simplest form. Calculation: The simplified expression is 14x.

Algebra 2

Factor quadratics

Full solution

10 x+4 x

Identify Like Terms: Identify like terms in the expression $10x + 4x$ . Reasoning: Like terms are terms that contain the same variables raised to the same powers. Here, both terms contain the variable $x$ raised to the first power. Calculation: $10x$ and $4x$ are like terms.
Combine Like Terms: Combine the like terms by adding their coefficients. $\newline$ Reasoning: To combine like terms, add the coefficients (the numerical parts) of the terms and keep the common variable part. $\newline$ Calculation: $10x + 4x = (10 + 4)x = 14x$
Write Final Expression: Write the final simplified expression. $\newline$ Reasoning: After combining like terms, the expression is now in its simplest form. $\newline$ Calculation: The simplified expression is $14x$ .