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Combine your skills of working with exponents and manipulating expressions for radical glory.

Solve the equation \[ \sqrt{ x+ 15 } = 9. \]

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Solve the equation

\[ \sqrt{ 6 x + 27 } = x. \]

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Solve for \(x\):

\[ \sqrt{x+141} - \sqrt{ 5x+85} = 2 \]

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If \[\frac{\sqrt{180+x}}{\sqrt{29}}=3,\] what is the value of \(x\)?

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