Sure, let’s simplify the given expression step by step.
Given expression: [tex]\((4x + 5) + (-5x - 1)\)[/tex]
1. Combine like terms:
- Combine the terms with [tex]\(x\)[/tex]: [tex]\(4x - 5x\)[/tex].
- Combine the constant terms: [tex]\(5 - 1\)[/tex].
2. Simplify the [tex]\(x\)[/tex] terms:
- [tex]\(4x - 5x = (-1)x = -x\)[/tex].
3. Simplify the constant terms:
- [tex]\(5 - 1 = 4\)[/tex].
So, after combining like terms:
[tex]\[ (4x + 5) + (-5x - 1) = -x + 4 \][/tex]
Thus, the expression in its simplest form is:
[tex]\[ 4 - x \][/tex]
Therefore, the simplified expression is [tex]\(4 - x\)[/tex].
