c solve $5x - 3 = 17$
e solve $3 - 7x = 24$
g solve $x + 20 = 2(x + 6)$
i solve $5x - 4 = 1 + 6x$
k solve $48 + x = 12 + 5x$
m solve $3(x - 2) + 4 = 10 + x$
o solve $8x - 1 = 6x - 5$
q solve $3x - 21 = 3 - x$
s solve $\frac{2x-8}{6} = 3$

Question

Accepted Answer

{ "quality": "clear", "question_count": 8, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Linear Equations", "Algebraic Solving" ], "current_concepts": [ "Linear Equations", "Algebraic Solving" ] } ## Solve equation E $$ \begin{aligned} 3 - 7x &= 24 \ -7x &= 21 \ x &= -3 \end{aligned} $$ ## Solve equation G $$ \begin{aligned} x + 20 &= 2(x + 6) \ x + 20 &= 2x + 12 \ x &= 8 \end{aligned} $$ ## Solve equations I, K, M $$ \begin{aligned} \text{I: } 5x - 4 &= 1 + 6x \implies x = -5 \ \text{K: } 48 + x &= 12 + 5x \implies 4x = 36 \implies x = 9 \ \text{M: } 3(x - 2) + 4 &= 10 + x \implies 3x - 2 = 10 + x \implies 2x = 12 \implies x = 6 \end{aligned} $$ ## Solve equations O, Q, S $$ \begin{aligned} \text{O: } 8x - 1 &= 6x - 5 \implies 2x = -4 \implies x = -2 \ \text{Q: } 3x - 21 &= 3 - x \implies 4x = 24 \implies x = 6 \ \text{S: } \frac{2x - 8}{6} &= 3 \implies 2x - 8 = 18 \implies 2x = 26 \implies x = 13 \end{aligned} $$ | Letter | Problem | Answer | |---|---|---| | E | Solve $3 - 7x = 24$ | $x = -3$ | | G | Solve $x + 20 = 2(x + 6)$ | $x = 8$ | | I | Solve $5x - 4 = 1 + 6x$ | $x = -5$ | | K | Solve $48 + x = 12 + 5x$ | $x = 9$ | | M | Solve $3(x - 2) + 4 = 10 + x$ | $x = 6$ | | O | Solve $8x - 1 = 6x - 5$ | $x = -2$ | | Q | Solve $3x - 21 = 3 - x$ | $x = 6$ | | S | Solve $\frac{2x - 8}{6} = 3$ | $x = 13$ | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

Letter	Problem	Answer
G	Solve \(x + 20 = 2(x + 6)\)	\(x = 8\)
I	Solve \(5x - 4 = 1 + 6x\)	\(x = -5\)
K	Solve \(48 + x = 12 + 5x\)	\(x = 9\)
M	Solve \(3(x - 2) + 4 = 10 + x\)	\(x = 6\)
O	Solve \(8x - 1 = 6x - 5\)	\(x = -2\)
Q	Solve \(3x - 21 = 3 - x\)	\(x = 6\)
S	Solve \(\frac{2x - 8}{6} = 3\)	\(x = 13\)

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Explanation:

Solve equation E

Solve equation G

Solve equations I, K, M

Solve equations O, Q, S

Answer: