To simplify the expression 2x + 5 – 49x using the distributive property, we first need to identify like terms.
1. Combine the terms involving x:
– Start with 2x and -49x.
– When you combine these, you add the coefficients: 2 – 49 = -47.
– So, 2x – 49x = -47x.
2. Now, include the constant term:
– The only constant in our expression is 5.
3. Putting it all together:
– The simplified expression is -47x + 5.
Thus, the final answer is:
-47x + 5