To create an equation that has an infinite number of solutions, we can set both sides of the equation to be identical.
Starting with the expression you provided:
\[ 8(7x + 5) - 8 \]
Let's simplify the left-hand side:
- Distribute the 8: \[ 8(7x) + 8(5) - 8 = 56x + 40 - 8 = 56x + 32 \]
Now we'll set the right-hand side equal to the left-hand side:
\[ 56x + 32 = 56x + 32 \]
This equation is true for all values of \( x \), since both sides are identical. Thus, it has an infinite number of solutions.
Therefore, you can finish the equation like this:
\[ 8(7x + 5) - 8 = 56x + 32 \]
or simply:
\[ 8(7x + 5) - 8 = 8(7x + 5) - 8 \]
Both forms establish that the equation has infinite solutions.