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Rewrite in simplest terms: [tex]$(4x + 5) + (-5x - 1)$[/tex]

Answer:

[tex]\square[/tex]


Sagot :

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].