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Answer :

The value of x is -0.01.

Linear system

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Simplification

Simplification is to make something easier to do or understand and to make something less complicated.

Given

The equation is 102x + 11 = (x + 6)2 – 2.

To find

The value of x.

How to find the value of x?

The equation is 102x + 11 = (x + 6)2 – 2.

On simplifying,

102x + 11 = 2(x + 6) - 2

102x + 11 = 2x + 12 - 2

102x + 11 = 2x + 10

102x - 2x = 10 - 11

      100x = -1

            x = -0.01

Thus, the value of x is -0.01.

More about the linear equation link is given below.

https://brainly.com/question/20379472