Question

1. $x + 8x + 9 = 84$

Explanation:

Step1: Combine like terms

We have the equation \(x + 8x+9 = 84\). Combining the \(x\) terms, we get \(9x+9 = 84\).

Step2: Subtract 9 from both sides

Subtract 9 from each side of the equation: \(9x+9 - 9=84 - 9\), which simplifies to \(9x = 75\).

Step3: Divide by 9

Divide both sides by 9: \(x=\frac{75}{9}=\frac{25}{3}\approx8.33\) (if we want a decimal approximation) or we can leave it as a fraction \(\frac{25}{3}\).

Answer:

\(x = \frac{25}{3}\) (or \(x\approx8.33\))