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Question
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Solution
`=>|(15-2x-14+2x,11-3x,7-x),(11-28,17,14),(10-26,16,13)|=0` `["Applying" C_1->C_1-2C_3]`
`=>|(1,11-3x,7-x),(-17,17,14),(-16,16,13)|=0`
`=>|(12-3x,4-2x,7-x),(0,3,14),(0,3,13)|=0` `["Applying" C_1->C_1+C_2 "and" C_2->C_2-C_3]`
\[ \Rightarrow \left( 12 - 3x \right)\left( \left( 3 \times 13 \right) - \left( 3 \times 14 \right) \right) = 0\]
\[ \Rightarrow \left( 12 - 3x \right)\left( - 3 \right) = 0\]
\[ \Rightarrow 12 - 3x = 0\]
\[ \Rightarrow 3x = 12\]
\[ \Rightarrow x = 4\]
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