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

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


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

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

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

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

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

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

Remove parenthesis around (-7 + -7x)
71 + -7 + -7x = 25 + -1(-5x + (-2x + 3))

Combine like terms: 71 + -7 = 64
64 + -7x = 25 + -1(-5x + (-2x + 3))

Reorder the terms:
64 + -7x = 25 + -1(-5x + (3 + -2x))

Remove parenthesis around (3 + -2x)
64 + -7x = 25 + -1(-5x + 3 + -2x)

Reorder the terms:
64 + -7x = 25 + -1(3 + -5x + -2x)

Combine like terms: -5x + -2x = -7x
64 + -7x = 25 + -1(3 + -7x)
64 + -7x = 25 + (3 * -1 + -7x * -1)
64 + -7x = 25 + (-3 + 7x)

Combine like terms: 25 + -3 = 22
64 + -7x = 22 + 7x

Solving
64 + -7x = 22 + 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.
64 + -7x + -7x = 22 + 7x + -7x

Combine like terms: -7x + -7x = -14x
64 + -14x = 22 + 7x + -7x

Combine like terms: 7x + -7x = 0
64 + -14x = 22 + 0
64 + -14x = 22

Add '-64' to each side of the equation.
64 + -64 + -14x = 22 + -64

Combine like terms: 64 + -64 = 0
0 + -14x = 22 + -64
-14x = 22 + -64

Combine like terms: 22 + -64 = -42
-14x = -42

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

Simplifying
x = 3

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