37x+9=6(6x+7)

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Solution for 37x+9=6(6x+7) equation:


Simplifying
37x + 9 = 6(6x + 7)

Reorder the terms:
9 + 37x = 6(6x + 7)

Reorder the terms:
9 + 37x = 6(7 + 6x)
9 + 37x = (7 * 6 + 6x * 6)
9 + 37x = (42 + 36x)

Solving
9 + 37x = 42 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
9 + 37x + -36x = 42 + 36x + -36x

Combine like terms: 37x + -36x = 1x
9 + 1x = 42 + 36x + -36x

Combine like terms: 36x + -36x = 0
9 + 1x = 42 + 0
9 + 1x = 42

Add '-9' to each side of the equation.
9 + -9 + 1x = 42 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 42 + -9
1x = 42 + -9

Combine like terms: 42 + -9 = 33
1x = 33

Divide each side by '1'.
x = 33

Simplifying
x = 33

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