Question

Simplify the expression (411 - 3x) + 7x - 8.

Answer 1

To simplify the expression (411 - 3x) + 7x - 8, we combine like terms, resulting in 403 + 4x after adding -3x and 7x and combining the constants 411 and -8.

Step-by-step explanation:

To simplify the algebraic expression (411 - 3x) + 7x - 8, we should combine like terms. We can do this by following these steps:

1. Firstly, identify like terms, which are terms that contain the same variable raised to the same power. Here, -3x and 7x are like terms.
2. Add or subtract the coefficients (numerical factors) of these like terms. In this case, -3x + 7x equals 4x.
3. Combine the constant terms 411 and -8. Adding them together gets us 411 - 8, which is 403.
4. Therefore, combining both steps, the expression simplifies to 403 + 4x.

Check the answer to make sure it is reasonable. Given that we simply combined like terms, the simplified expression should reflect the same elements, just in a more condensed form, which is 403 + 4x.