Write an expression equivalent to 6(x + y) + 11 – 5, and state which property you used to write it.

x = 22

Step-by-step explanation:

Note that the angles are directly next to each other, and, when combined, forms a straight line, in which it's angle measurement is 180°. Set both terms equal to 180°:

5x + 3x + 4 = 180

First, combine like terms:

(5x + 3x) + 4 = 180

8x + 4 = 180

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

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First, subtract 4 from both sides of the equation:

8x + 4 (-4) = 180 (-4)

8x = 180 - 4

8x = 176

Next, divide 8 from both sides of the equation:

(8x)/8 = (176)/8

x = 176/8 = 22

x = 22 is your answer.

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