m(x-1)-2mx=x+7

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Solution for m(x-1)-2mx=x+7 equation: 


Simplifying
m(x + -1) + -2mx = x + 7

Reorder the terms:
m(-1 + x) + -2mx = x + 7
(-1 * m + x * m) + -2mx = x + 7
(-1m + mx) + -2mx = x + 7

Combine like terms: mx + -2mx = -1mx
-1m + -1mx = x + 7

Reorder the terms:
-1m + -1mx = 7 + x

Solving
-1m + -1mx = 7 + x

Solving for variable 'm'.

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

Reorder the terms:
-7 + -1m + -1mx + -1x = 7 + x + -7 + -1x

Reorder the terms:
-7 + -1m + -1mx + -1x = 7 + -7 + x + -1x

Combine like terms: 7 + -7 = 0
-7 + -1m + -1mx + -1x = 0 + x + -1x
-7 + -1m + -1mx + -1x = x + -1x

Combine like terms: x + -1x = 0
-7 + -1m + -1mx + -1x = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(7 + m + mx + x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(7 + m + mx + x)' equal to zero and attempt to solve:

Simplifying
7 + m + mx + x = 0

Solving
7 + m + mx + x = 0

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

Add '-7' to each side of the equation.
7 + m + mx + -7 + x = 0 + -7

Reorder the terms:
7 + -7 + m + mx + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + m + mx + x = 0 + -7
m + mx + x = 0 + -7

Combine like terms: 0 + -7 = -7
m + mx + x = -7

Add '-1x' to each side of the equation.
m + mx + x + -1x = -7 + -1x

Combine like terms: x + -1x = 0
m + mx + 0 = -7 + -1x
m + mx = -7 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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