To solve the equation \(6(6x + 15) = 4\), follow these steps:
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Distribute the 6 on the left side: \[ 36x + 90 = 4 \]
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Subtract 90 from both sides: \[ 36x = 4 - 90 \] \[ 36x = -86 \]
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Divide both sides by 36: \[ x = \frac{-86}{36} \]
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Simplify the fraction: \[ x = \frac{-43}{18} \]
Thus, the solution is: \[ x = \frac{-43}{18} \]