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Solve the following equation: \(|2x + 6 - 5x| = 9\)

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Question:

A
x = -1 or x = 5.

explanation

First, simplify the expression in absolute value:

|2x + 6 - 5x| = |6 - 3x | = 9

Because absolute value\u00A0of a number is its distance from zero, it can be a positive or negative value. Therefore, solve each of the following equations:

6 - 3x = 9

6 - 3x = -9

Solve the first equation.

6 - 3x = 9

-3x = 3

x = -1

Solve the next equation.

6 - 3x = -9

-3x = -15

x = 5

Therefore, x = -1 or x = 5

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