To solve the equation \(14x - 6 = -4\), let’s first isolate \(x\).
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Add 6 to both sides of the equation: \[ 14x - 6 + 6 = -4 + 6 \] This simplifies to: \[ 14x = 2 \]
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Now, divide both sides by 14: \[ x = \frac{2}{14} \] Simplifying \(\frac{2}{14}\) gives us: \[ x = \frac{1}{7} \]
The solution to the equation \(14x - 6 = -4\) is \(x = \frac{1}{7}\).
To visually represent this solution on a graph, you would typically have:
- A number line where you can plot the point \(\frac{1}{7}\).
- An indication that this is the solution (for example, a filled circle at \(\frac{1}{7}\) or highlighting the point).
If you are provided with multiple graph options, choose the one where \(x = \frac{1}{7}\) is clearly marked or indicated as the solution.