Question

Simplify the following expression. (47x + 47) - (18x - 21)

Answer 1

To simplify the expression (47x + 47) - (18x - 21), remove the parentheses, change the signs accordingly, combine like terms, and then simplify the coefficients to get the final simplified expression: 29x + 68.

Step-by-step explanation:

The question asks to simplify the expression (47x + 47) - (18x - 21). To do this, we need to remove the parentheses and then combine like terms.

Steps to simplify:

1. Remove the parentheses. Since there is a minus sign before the second set of parentheses, we need to change the signs of the terms inside: (47x + 47) - 18x + 21.
2. Combine like terms by adding or subtracting the coefficients of the x terms and the constant terms separately: 47x - 18x + 47 + 21.
3. Simplify the coefficients: (47 - 18)x + (47 + 21).
4. Calculate the coefficients: 29x + 68.

Therefore, the simplified expression is 29x + 68.