QuestionSimplify. $\frac{3}{4}-4 x+\frac{1}{2} x-\frac{1}{2}+\frac{1}{2} x$
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Studdy Solution

STEP 1

1. The expression is a polynomial that can be simplified by combining like terms.
2. The expression contains both constant terms and terms with the variable $x$ .

STEP 2

1. Identify and combine the constant terms in the expression.
2. Identify and combine the terms with the variable $x$ .

STEP 3

Identify the constant terms in the expression: $1$ and $-1$ .
$1 - 1 = 0$
The constant terms simplify to $0$ .

STEP 4

Identify the terms with the variable $x$ : $-4x$ , $\frac{3}{2}x$ , and $1x$ .
Combine these terms:
$-4x + \frac{3}{2}x + 1x$
First, convert all coefficients to have a common denominator:
$-4x = -\frac{8}{2}x$ $1x = \frac{2}{2}x$
Now combine:
$-\frac{8}{2}x + \frac{3}{2}x + \frac{2}{2}x = \left(-\frac{8}{2} + \frac{3}{2} + \frac{2}{2}\right)x$
$= -\frac{3}{2}x$

STEP 5

Combine the results from Step 1 and Step 2:
The simplified expression is:
$-\frac{3}{2}x$

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