Question

Hello, could you help me with my math exercise? thank you in advance

How do you go from the starting number to the result? With the following algorithm:
Choose a number
Multiply by -11
Add 5
Multiply by -9
Add the starting number
Subtract 55

The number chosen is x

Answer 1

Answer: The simplified expression is: " 100x - 100 . "

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Step-by-step explanation:

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Step 1) Choose a number; Let this number be represented by: " x " .

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Step 2) Multiply "x" by " (-11) " ; as follows:

x * (-11) = -11 * x = - 11x .

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Step 3) Add "5" to: " -11x " ; as follows:

5 + (-11x) = -11x + 5 .

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Step 4) Multiply: " (-11x + 5) by: " (-9)" ; as follows:

-9(-11x + 5) = ?

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Note the "distributive property" of multiplication:

a(b + c) = ab + ac .

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As such:

-9(-11x + 5) =

(-9 * -11x) + (-9 * 5) =

99x + (-45) =

99x - 45 .

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Step 5: Add "x" to: " (99x - 45) " ; as follows:

99x - 45 + x =

99x + x - 45 =

100x - 45 .

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Step 6: Subtract "55" from: " (100x - 45) " ; as follows:

100x - 45 - 55 = ?

- 45 - 55 = - 100 ;

100x - 45 - 55 =

100x - 100 .

or: Factor out a "100" ;

→ 100 (x - 1) ;

However, the simplified expression is: " 100x - 100 " .

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Answer 2

`100(x - 1)`

Step-by-step explanation:

Let's begin writing down everything

(X×(-11)+5)×(-9)+X-55

Now we can multiply

-9(-11X+5)+X-55

99X-45+X-55

And so we get

100X-100

Factorize 100

100(x-1)