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c. $2(12 + x) = 2x + 24$

Question

c. $2(12 + x) = 2x + 24$

Explanation:

Step1: Expand left-hand side

$2(12+x) = 2\times12 + 2\times x = 24 + 2x$

Step2: Rearrange terms for comparison

$2x + 24 = 2x + 24$

Step3: Simplify to check equality

Subtract $2x + 24$ from both sides: $0 = 0$

Answer:

This equation is an identity, meaning it is true for all real values of $x$.