Multiply 5 by each term inside the parentheses: both $3x$ and $-2$. Write out both products separately before combining anything.

After you distribute, you will have two terms with $x$ and one constant term. Combine the $x$ terms together and keep the constant term as it is.

In Desmos, type the original expression 5(3x - 2) + 4x on one line. This represents the function you want to simplify.

On separate lines, type each answer choice exactly as written (for example, 11x - 10, 19x + 10, etc.). You will now have the original expression and four candidate expressions in Desmos.

Either look at the graphs to see which line lies exactly on top of the graph of the original expression for all $x$, or use the table feature (click the gear icon and select “Convert to table”) to compare values. The correct choice is the one whose outputs always match the original expression’s outputs for every $x$ you test.

The question is asking you to rewrite $5(3x - 2) + 4x$ in a simpler, but mathematically equal, form by using algebra rules (not by plugging in a value for $x$).

Apply the distributive property to $5(3x - 2)$ by multiplying 5 by each term inside the parentheses:

So this becomes:

Now substitute this back into the original expression:

Now you have two terms with $x$: $15x$ and $4x$, plus a constant term $-10$. Next, combine the like terms with $x$.

Add the $x$ terms:

So the simplified expression is:

Among the answer choices, this matches choice D, $19x - 10$.