Let's solve the equation step-by-step. The initial equation given was:
\[ \frac{5}{1} (5x - 15) = 9x + 9 \]
Since \( \frac{5}{1} = 5 \), we can rewrite the equation as:
\[ 5(5x - 15) = 9x + 9 \]
Now, let's distribute the \( 5 \) on the left side:
\[ 25x - 75 = 9x + 9 \]
Next, we will isolate the variable \( x \). First, subtract \( 9x \) from both sides:
\[ 25x - 9x - 75 = 9 \]
This simplifies to:
\[ 16x - 75 = 9 \]
Next, add \( 75 \) to both sides:
\[ 16x = 9 + 75 \]
This combines to:
\[ 16x = 84 \]
Now, divide both sides by \( 16 \):
\[ x = \frac{84}{16} \]
We can simplify \( \frac{84}{16} \) by dividing both the numerator and denominator by 4:
\[ x = \frac{21}{4} \]
So the final answer is:
\[ x = 5.25 \quad \text{or} \quad x = \frac{21}{4} \]
If you need a decimal, \( x = 5.25 \). If using Zearn or any other platform, you can enter either \( \frac{21}{4} \) or \( 5.25 \) as your answer.