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Beyond the Answer
First, let's combine the like terms on the left side of the equation. So we have: \(-6x - 13x = -19x\) Now, the equation looks like this: \(-19x = 95\) To isolate \(x\), divide both sides by \(-19\): \(x = \frac{95}{-19} = -5\) Thus, the solution is \(x = -5\). Now that you've solved the equation, how about a fun fact? The concept of solving linear equations dates back to ancient civilizations like the Babylonians, who used geometric methods to tackle problems resembling algebraic equations! Math has truly evolved over the centuries. If you want to apply this knowledge practically, try using linear equations to model real-life situations. For instance, if you're planning a road trip and want to calculate fuel costs based on distance and gas prices, you can use equations just like the one you solved here to budget effectively. Math is everywhere!
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