Simplify 11-(-4(x-11))/4

$11 - \frac{- 4 (x - 11)}{4}$

Step 1

Simplify each term.

Cancel the common factor of $- 4$ and $4$ .

Factor $4$ out of $- 4 (x - 11)$ .

$11 - \frac{4 (- (x - 11))}{4}$

Cancel the common factors.

Factor $4$ out of $4$ .

$11 - \frac{4 (- (x - 11))}{4 (1)}$

Cancel the common factor.

$11 - \frac{4 (- (x - 11))}{4 \cdot 1}$

Rewrite the expression.

$11 - \frac{- (x - 11)}{1}$

Divide $- (x - 11)$ by $1$ .

$11 - - (x - 11)$

$11 - - (x - 11)$

$11 - - (x - 11)$

Apply the distributive property.

$11 - (- x - - 11)$

Multiply $- 1$ by $- 11$ .

$11 - (- x + 11)$

Apply the distributive property.

$11 - - x - 1 \cdot 11$

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$11 + 1 x - 1 \cdot 11$

Multiply $x$ by $1$ .

$11 + x - 1 \cdot 11$

$11 + x - 1 \cdot 11$

Multiply $- 1$ by $11$ .

$11 + x - 11$

$11 + x - 11$

Step 2

Combine the opposite terms in $11 + x - 11$ .

Subtract $11$ from $11$ .

$x + 0$

Add $x$ and $0$ .

$x$

$x$

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