QuestionSolve the expression: $-7 x - 2(3 x - 4) + 11$ .

Studdy Solution

STEP 1

Assumptions1. The given expression is $-7x-(3x-4)+11$ . We are to simplify the expression following the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

STEP 2

First, we need to simplify the expression inside the parentheses. In this case, we have $x-4$ inside the parentheses.
$-7x-2(x-4)+11$

STEP 3

Next, we distribute the $-2$ to both terms inside the parentheses.
$-7x-23x+2+11$

STEP 4

Perform the multiplication operations.
$-7x-6x+8+11$

STEP 5

Combine like terms.
$-13x+19$ So, the simplified expression is $-13x+19$ .

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