100=4x+4(x+11)

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Solution for 100=4x+4(x+11) equation:


Simplifying
100 = 4x + 4(x + 11)

Reorder the terms:
100 = 4x + 4(11 + x)
100 = 4x + (11 * 4 + x * 4)
100 = 4x + (44 + 4x)

Reorder the terms:
100 = 44 + 4x + 4x

Combine like terms: 4x + 4x = 8x
100 = 44 + 8x

Solving
100 = 44 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
100 + -8x = 44 + 8x + -8x

Combine like terms: 8x + -8x = 0
100 + -8x = 44 + 0
100 + -8x = 44

Add '-100' to each side of the equation.
100 + -100 + -8x = 44 + -100

Combine like terms: 100 + -100 = 0
0 + -8x = 44 + -100
-8x = 44 + -100

Combine like terms: 44 + -100 = -56
-8x = -56

Divide each side by '-8'.
x = 7

Simplifying
x = 7

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