Solve 4(x + 1) = 4x + 4.

A) No solution

B) 0

C) All real numbers

D) 1

Please help, and explain how you got the answer :)!

Respuesta :

Answer:

all real numbers

Step-by-step explanation:

Simplifying

4(x + 1) = 4x + 4

Reorder the terms:

4(1 + x) = 4x + 4

(1 * 4 + x * 4) = 4x + 4

(4 + 4x) = 4x + 4

Reorder the terms:

4 + 4x = 4 + 4x

Add '-4' to each side of the equation.

4 + -4 + 4x = 4 + -4 + 4x

Combine like terms: 4 + -4 = 0

0 + 4x = 4 + -4 + 4x

4x = 4 + -4 + 4x

Combine like terms: 4 + -4 = 0

4x = 0 + 4x

4x = 4x

Add '-4x' to each side of the equation.

4x + -4x = 4x + -4x

Combine like terms: 4x + -4x = 0

0 = 4x + -4x

Combine like terms: 4x + -4x = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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