{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations" ], "new_concepts": [], "current_concepts": [ "Linear Equations" ] } ## Distribute the constant through the parentheses \[ \begin{aligned} &4(x + 1) - 3 = 24 \\ &4x + 4 - 3 = 24 \end{aligned} \] ## Combine like terms on the left side \[ \begin{aligned} &4x + 1 = 24 \end{aligned} \] ## Isolate the variable term and solve for x \[ \begin{aligned} &4x = 23 \\ &x = \frac{23}{4} \end{aligned} \] $x = \frac{23}{4}$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

4. \$4(x+1)-3=24\$

QUESTION IMAGE

$4. \$4(x+1)-3=24\$$

Question

\$4(x+1)-3=24\$

Explanation:

Distribute the constant through the parentheses

$$ LATEXBLOCK0 $$

Combine like terms on the left side

$$ LATEXBLOCK1 $$

Isolate the variable term and solve for x

$$ LATEXBLOCK2 $$

Answer:

$x = \frac{23}{4}$