Answer :

Certainly! Let's simplify the given mathematical expression step-by-step.

### Given Expression:
[tex]\[ -\frac{5x}{2} - x \][/tex]

### Step 1: Combine like terms
To simplify this expression, we need to combine the terms that contain the variable [tex]\( x \)[/tex]. Both terms in this expression contain [tex]\( x \)[/tex].

First, note that [tex]\( x \)[/tex] can be rewritten as [tex]\( \frac{2x}{2} \)[/tex] to have a common denominator:

[tex]\[ x = \frac{2x}{2} \][/tex]

### Step 2: Substitute and combine
Now, substitute [tex]\( x \)[/tex] with [tex]\( \frac{2x}{2} \)[/tex] in the expression:

[tex]\[ -\frac{5x}{2} - \frac{2x}{2} \][/tex]

Since the denominators are the same, we can combine the numerators directly:

[tex]\[ -\frac{5x}{2} - \frac{2x}{2} = -\frac{5x + 2x}{2} \][/tex]

Combine the terms in the numerator:

[tex]\[ -\frac{7x}{2} \][/tex]

### Final Simplified Expression:
[tex]\[ -\frac{7x}{2} \][/tex]

This is the simplified form of the given expression. Thus, the answer is:

[tex]\[ -\frac{7x}{2} \][/tex]