Answer :

To solve the equation [tex]\( 45x = 11 \)[/tex] for [tex]\( x \)[/tex], follow these steps:

1. Understand the Equation:
The equation given is [tex]\( 45x = 11 \)[/tex]. This is a linear equation in one variable, [tex]\( x \)[/tex], where the coefficient of [tex]\( x \)[/tex] is 45 and the constant term is 11.

2. Isolate [tex]\( x \)[/tex]:
To find the value of [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. We do this by dividing both sides of the equation by the coefficient of [tex]\( x \)[/tex] (which is 45).

- Divide both sides by 45:
[tex]\[ x = \frac{11}{45} \][/tex]

3. Simplify the Fraction:
The fraction [tex]\( \frac{11}{45} \)[/tex] is already in its simplest form, as 11 is a prime number and does not share any common factors with 45.

4. Result:
The value of [tex]\( x \)[/tex] in the equation [tex]\( 45x = 11 \)[/tex] is:
[tex]\[ x \approx 0.2444 \][/tex]

Therefore, [tex]\( x \)[/tex] is approximately 0.2444 when you solve the equation [tex]\( 45x = 11 \)[/tex].

Regarding the mention of [tex]\( x = 56 \)[/tex], it seems to be an extraneous or unrelated piece of information and does not affect the solution of [tex]\( 45x = 11 \)[/tex]. Hence, you can disregard it for solving this particular equation.