37x+1=9(4x-7)

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Solution for 37x+1=9(4x-7) equation:


Simplifying
37x + 1 = 9(4x + -7)

Reorder the terms:
1 + 37x = 9(4x + -7)

Reorder the terms:
1 + 37x = 9(-7 + 4x)
1 + 37x = (-7 * 9 + 4x * 9)
1 + 37x = (-63 + 36x)

Solving
1 + 37x = -63 + 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.
1 + 37x + -36x = -63 + 36x + -36x

Combine like terms: 37x + -36x = 1x
1 + 1x = -63 + 36x + -36x

Combine like terms: 36x + -36x = 0
1 + 1x = -63 + 0
1 + 1x = -63

Add '-1' to each side of the equation.
1 + -1 + 1x = -63 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = -63 + -1
1x = -63 + -1

Combine like terms: -63 + -1 = -64
1x = -64

Divide each side by '1'.
x = -64

Simplifying
x = -64

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