To simplify the expression [tex]\(11x - (7x - 5)\)[/tex] by removing the parentheses and combining like terms, follow these steps:
1. Distribute the negative sign across the parentheses: When you have a subtraction sign (-) in front of a set of parentheses, you need to distribute it to each term inside the parentheses. This changes the signs of the terms inside:
[tex]\[
11x - (7x - 5) \implies 11x - 7x + 5
\][/tex]
2. Combine the like terms: The like terms here are [tex]\(11x\)[/tex] and [tex]\(-7x\)[/tex]:
[tex]\[
11x - 7x = 4x
\][/tex]
3. Include the constant term: After combining the like terms, you are left with:
[tex]\[
4x + 5
\][/tex]
Therefore, the simplified expression is:
[tex]\[
4x + 5
\][/tex]
