50=7(1+x)-6(1-7x)

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Solution for 50=7(1+x)-6(1-7x) equation: 


Simplifying
50 = 7(1 + x) + -6(1 + -7x)
50 = (1 * 7 + x * 7) + -6(1 + -7x)
50 = (7 + 7x) + -6(1 + -7x)
50 = 7 + 7x + (1 * -6 + -7x * -6)
50 = 7 + 7x + (-6 + 42x)

Reorder the terms:
50 = 7 + -6 + 7x + 42x

Combine like terms: 7 + -6 = 1
50 = 1 + 7x + 42x

Combine like terms: 7x + 42x = 49x
50 = 1 + 49x

Solving
50 = 1 + 49x

Solving for variable 'x'.

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

Add '-49x' to each side of the equation.
50 + -49x = 1 + 49x + -49x

Combine like terms: 49x + -49x = 0
50 + -49x = 1 + 0
50 + -49x = 1

Add '-50' to each side of the equation.
50 + -50 + -49x = 1 + -50

Combine like terms: 50 + -50 = 0
0 + -49x = 1 + -50
-49x = 1 + -50

Combine like terms: 1 + -50 = -49
-49x = -49

Divide each side by '-49'.
x = 1

Simplifying
x = 1

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