71+(-5*x+(-2*x+3))=25-(-(3*x+4)-(4*x+3))

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Solution for 71+(-5*x+(-2*x+3))=25-(-(3*x+4)-(4*x+3)) equation: 


Simplifying
71 + (-5x + (-2x + 3)) = 25 + -1(-1(3x + 4) + -1(4x + 3))

Reorder the terms:
71 + (-5x + (3 + -2x)) = 25 + -1(-1(3x + 4) + -1(4x + 3))

Remove parenthesis around (3 + -2x)
71 + (-5x + 3 + -2x) = 25 + -1(-1(3x + 4) + -1(4x + 3))

Reorder the terms:
71 + (3 + -5x + -2x) = 25 + -1(-1(3x + 4) + -1(4x + 3))

Combine like terms: -5x + -2x = -7x
71 + (3 + -7x) = 25 + -1(-1(3x + 4) + -1(4x + 3))

Remove parenthesis around (3 + -7x)
71 + 3 + -7x = 25 + -1(-1(3x + 4) + -1(4x + 3))

Combine like terms: 71 + 3 = 74
74 + -7x = 25 + -1(-1(3x + 4) + -1(4x + 3))

Reorder the terms:
74 + -7x = 25 + -1(-1(4 + 3x) + -1(4x + 3))
74 + -7x = 25 + -1((4 * -1 + 3x * -1) + -1(4x + 3))
74 + -7x = 25 + -1((-4 + -3x) + -1(4x + 3))

Reorder the terms:
74 + -7x = 25 + -1(-4 + -3x + -1(3 + 4x))
74 + -7x = 25 + -1(-4 + -3x + (3 * -1 + 4x * -1))
74 + -7x = 25 + -1(-4 + -3x + (-3 + -4x))

Reorder the terms:
74 + -7x = 25 + -1(-4 + -3 + -3x + -4x)

Combine like terms: -4 + -3 = -7
74 + -7x = 25 + -1(-7 + -3x + -4x)

Combine like terms: -3x + -4x = -7x
74 + -7x = 25 + -1(-7 + -7x)
74 + -7x = 25 + (-7 * -1 + -7x * -1)
74 + -7x = 25 + (7 + 7x)

Combine like terms: 25 + 7 = 32
74 + -7x = 32 + 7x

Solving
74 + -7x = 32 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
74 + -7x + -7x = 32 + 7x + -7x

Combine like terms: -7x + -7x = -14x
74 + -14x = 32 + 7x + -7x

Combine like terms: 7x + -7x = 0
74 + -14x = 32 + 0
74 + -14x = 32

Add '-74' to each side of the equation.
74 + -74 + -14x = 32 + -74

Combine like terms: 74 + -74 = 0
0 + -14x = 32 + -74
-14x = 32 + -74

Combine like terms: 32 + -74 = -42
-14x = -42

Divide each side by '-14'.
x = 3

Simplifying
x = 3

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