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Q.

Replace the x with an integer to make it a true statement.


Question Image 

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a

5

b

6

c

7

d

None of these 

answer is C.

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Detailed Solution

Concept- In order to begin solving this issue, let's assume that the given blank contains the integer x. After that, we shall employ fundamental operations in mathematics like multiplication and division. We are aware that multiplying positive and negative numbers will have negative outcomes. This fundamental understanding will be used to locate the necessary integers.
In this case, the result is a negative integer, 56. We can observe that the integer -8 is also a negative integer on the LHS. We are aware that multiplying positive and negative numbers will have negative outcomes. This knowledge allows us to conclude that the blank must contain positive integers. Let's assume that x is an integer in the provided blank in order to find that positive integer.
Consequently, we can write Question ImageWhen the LHS of equation (1) is multiplied, we get the result Question ImageWe obtain Question Image by removing the negative sign from both sides of the equation (2). We can see that the equation (3) has one variable, x, and is a linear equation. of equation (3) to determine the value of x. Let's divide both sides of the equation (3) by the integer 8 first. as a result, we have
Question ImageQuestion ImageHence, the correct answer is option 3.
 
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