QuestionSimplify the expression: $-2(7-2x)$ .

Studdy Solution

STEP 1

Assumptions1. The expression is $-(7-x)$ . We are solving for $x$
3. We follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right). This is often abbreviated as PEMAS.

STEP 2

First, we need to distribute the $-2$ to both terms inside the parentheses.
$-2(7-2x) = -2 \cdot7 -2 \cdot2x$

STEP 3

Now, we multiply $-2$ by $7$ and $-2$ by $2x$ .
$-2 \cdot7 -2 \cdot2x = -14 -x$ So, $-2(7-2x) = -14 -x$ .

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