Math

QuestionSimplify the expression 5x16x56x-5x - 1 - 6x - 5 - 6x.

Studdy Solution

STEP 1

Assumptions1. The given algebraic expression is 5x16x56x-5x -1 -6x -5 -6x. . We need to simplify the expression by combining like terms.

STEP 2

First, identify the like terms in the expression. Like terms are terms that contain the same variables raised to the same power. In this case, the like terms are 5x-5x, 6x-6x, and 6x-6x (which are the terms with the variable xx), and 1-1 and 5-5 (which are the constant terms).

STEP 3

Combine the like terms with the variable xx.
5x6x6x-5x -6x -6x

STEP 4

Perform the addition operation.
x6x6x=17x-x -6x -6x = -17x

STEP 5

Next, combine the constant terms.
15-1 -5

STEP 6

Perform the addition operation.
15=6-1 -5 = -6

STEP 7

Now, combine the results from steps4 and6 to form the simplified expression.
17x6-17x -6So, the simplified form of the given algebraic expression 5x16x56x-5x -1 -6x -5 -6x is 17x6-17x -6.

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