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question combine like terms. $x + 8x$ answer

Question

question
combine like terms.
$x + 8x$
answer

Explanation:

Step1: Identify like terms

The terms \( x \) and \( 8x \) are like terms (both have the variable \( x \) with exponent 1).

Step2: Combine coefficients

For like terms \( ax + bx \), we combine them as \( (a + b)x \). Here, \( a = 1 \) (coefficient of \( x \)) and \( b = 8 \) (coefficient of \( 8x \)). So, \( 1x + 8x=(1 + 8)x \).

Step3: Simplify the coefficient

Calculate \( 1 + 8 = 9 \), so \( (1 + 8)x = 9x \).

Answer:

\( 9x \)