The givenThe expression expression shown in is the ( image is ( 3(4x + 6) \ 3).( Let's4 simplifyx this + step by6) step :

).

Step Step -by-Step1 Solution::

Distribute1 the. **3Dis\tribute) the \( to each term inside the3 parentheses across. \ the[ 3( terms4x) + inside the parentheses**: \ 3[ ( 63) (4x + 6)\ =]

###3 Step \ 2: Performcd theot multiplication . 4\x[ +12x + 3 \18 \cd]

ot ###6 Final Answer : \]

[ 212.x ** +Simpl ify18 each term**]

: Would you \ like[ further clarification on3 how \ Icd solvedot this ? Here are some related questions to4 expand onx this = topic :

12x, \quad 13. \cd Howot do you 6 apply = the distribut18 ive property to simplify algebraic \ expressions]

3?. **
Combine the2 terms. What**: \ if the[ expression inside the parentheses had 12 subtractionx instead + ?18

3. \ Can]

you### Final factor Answer the simplified: \ expression[ (1212xx + + 1818
]

Let me know if you'd) back into its original like form?
further4. clarification!

Here are How does this concept relate to solving equations?
5 5 related. questions to expand your Could understanding the distribut: ive property1. apply How to would you larger factor expressions ( like (12x3 +( 418x \ +) back6 into + its y)\ original)?

form**? Tip:** Always2. What happens if x = 0 \ check) if in the the simplified expression expression \( can be fact ored further for additional insight or solving purposes.12x + 18? 3. How would you solve the equation $12x + 18 = 0$? 4. If $3(4x + 6)$ is equal to $48$, what is the value of $x$? 5. Can you write a word problem that involves the expression $3(4x + 6)$?

Tip: Always distribute carefully and double-check each term to avoid common mistakes in simplifying expressions!