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To solve for \( x \), you need to isolate it on one side of the equation. Start by subtracting \( 25.5 \) from both sides. This gives you \( 31 - 25.5 = x \), which simplifies to \( 5.5 = x \). So, the solution is \( x = 5.5 \). Did you know that solving equations like this is a fundamental skill in algebra that lays the groundwork for more complex math topics such as calculus and physics? Understanding how to manipulate equations helps in various fields, from engineering to economics! A common mistake when solving equations is forgetting to perform the same operation on both sides. For example, if you add or subtract a number from one side without doing it to the other, it can lead you to an incorrect answer. Always keep the equation balanced—think of it as a seesaw!