The equation \(5x + 7x = 7b\) can be simplified on the left side. Here's how to understand it:
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Combine Like Terms: The terms \(5x\) and \(7x\) are like terms because they both contain the variable \(x\). You can combine them: \[ 5x + 7x = (5 + 7)x = 12x \] So, the left side simplifies to \(12x\).
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Rewrite the Equation: Now, replace the left side of your original equation with the combined term: \[ 12x = 7b \]
The equation \(12x = 7b\) suggests a relationship between the values of \(x\) and \(b\). To find \(b\) in terms of \(x\), you could rearrange it as: \[ b = \frac{12x}{7} \]
In summary, the original equation can be simplified to show a direct relationship between the variables \(x\) and \(b\).