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Question: what is solution for 34x\ +95\ =3\left(14x+9\right)
Sure, let's solve the equation step by step. Given: \[ 34x + 95 = 3(14x + 9) \] First, distribute the 3 on the right-hand side: \[ 34x + 95 = 3 \cdot 14x + 3 \cdot 9 \] \[ 34x + 95 = 42x + 27 \] Next, we want to get all the \( x \)-terms on one side and the constants on the other side. Subtract \( 42x \) from both sides: \[ 34x - 42x + 95 = 27 \] \[ -8x + 95 = 27 \] Now, subtract 95 from both sides to isolate the \( x \)-term: \[ -8x + 95 - 95 = 27 - 95 \] \[ -8x = -68 \] Finally, divide both sides by -8 to solve for \( x \): \[ x = \frac{-68}{-8} \] \[ x = 8.5 \] So, the solution to the equation \( 34x + 95 = 3(14x + 9) \) is: \[ x = 8.5 \]
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