To determine which graph represents the solution for the equation \(-52x - 1 = 4x + 2\), we first need to solve the equation for \(x\).
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First, combine like terms: \(-52x - 4x = 2 + 1\)
This simplifies to: \(-56x = 3\)
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Now, divide both sides by \(-56\): \[ x = \frac{3}{-56} = -\frac{3}{56} \]
Now that we have the solution \(x = -\frac{3}{56}\), we can look for a graph that shows this value.
In a standard Cartesian plane, we would see a vertical line at \(x = -\frac{3}{56}\).
If you have specific graphs to choose from, look for the graph that intersects the x-axis at approximately \(-0.05357\) (since \(-\frac{3}{56} \approx -0.05357\)).
If you can provide me with descriptions of the graphs or any image, I can help you identify which one correctly represents the solution.