Questions: 3x * -4 = 1

3x * -4 = 1
Transcript text: $3 x \cdot-4=1$
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Solution

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Solution Steps

To solve the equation \(3x \cdot -4 = 1\), we need to isolate the variable \(x\). First, simplify the left side by multiplying the constants. Then, divide both sides of the equation by the resulting coefficient of \(x\) to solve for \(x\).

Step 1: Simplify the Equation

The given equation is \(3x \cdot -4 = 1\). First, simplify the left side by multiplying the constants: \[ 3 \times -4 = -12 \] Thus, the equation becomes: \[ -12x = 1 \]

Step 2: Solve for \(x\)

To isolate \(x\), divide both sides of the equation by \(-12\): \[ x = \frac{1}{-12} \] This simplifies to: \[ x = -0.08333 \]

Final Answer

\[ \boxed{x = -\frac{1}{12}} \]

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