Subjects algebra

Expression Evaluation 0F769D

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1. **State the problem:** We need to evaluate the expressions $2(4x+3)$ and $12x-2$ when $x=3$ to check if they are equal. 2. **Evaluate the first expression:** $$2(4x+3)$$ Substitute $x=3$: $$2(4\times 3 + 3) = 2(12 + 3) = 2 \times 15 = 30$$ 3. **Evaluate the second expression:** $$12x - 2$$ Substitute $x=3$: $$12 \times 3 - 2 = 36 - 2 = 34$$ 4. **Conclusion:** The values are $30$ and $34$ respectively, which are not equal. Therefore, Brandon's claim that the expressions are equivalent is false when $x=3$. **Final answers:** - $2(4x+3)$ at $x=3$ is $30$. - $12x-2$ at $x=3$ is $34$.