Apply the distributive property to find and match the correct answer to the equation. ITEM BANK: Move to Top x = −5x = −9x = 11x = 12x = 8 −5x + 6(4x + 15) = 242 −7x + 7(−2x + 25) = −56 4x + 5(5x − 39) = 153 6x − 5(6x + 39) = −75 −6x + 7(3x − 6) = −177

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Using distributive property, the first one is 8, the second is 11, the third is 12, fourth is -5.

What is distributive property?

The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is

A(B + C) = AB + AC

This property is known by distributive law and applies to subtraction also.

−5x + 6(4x + 15) = 242

-5x + 24x + 90 = 242

19x = 152

x = 8

Thus, the first one is 8

−7x + 7(−2x + 25) = −56

-7x - 14x + 175 = -56

-21x = -231

x = 11

Thus, the second is 11

4x + 5(5x − 39) = 153

4x + 25x - 195 = 153

29x = 348

x = 12

Thus, third is 12

6x − 5(6x + 39) = −75

6x - 30x + 195 = -75

-24x = -270

x = - 5

fourth is -5

Learn more about the distributive property;

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