7. \( 12 x=19.2 \)
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The Deep Dive
To solve the equation \( 12x = 19.2 \), you can start by isolating \( x \). Divide both sides of the equation by 12, which gives you \( x = \frac{19.2}{12} \). Doing the division, you find that \( x = 1.6 \). So, the solution to the equation is \( x = 1.6 \). Now, think of practical scenarios where such equations pop up! For instance, if you're calculating the price per item when buying in bulk, knowing how to isolate \( x \) helps you determine the cost of a single item when the total and quantity are known. It's essentially a budgeting trick that turns complex calculations into manageable ones - who wouldn't want to save a buck or two?