7=7x+7(2x-17)

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Solution for 7=7x+7(2x-17) equation:


Simplifying
7 = 7x + 7(2x + -17)

Reorder the terms:
7 = 7x + 7(-17 + 2x)
7 = 7x + (-17 * 7 + 2x * 7)
7 = 7x + (-119 + 14x)

Reorder the terms:
7 = -119 + 7x + 14x

Combine like terms: 7x + 14x = 21x
7 = -119 + 21x

Solving
7 = -119 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
7 + -21x = -119 + 21x + -21x

Combine like terms: 21x + -21x = 0
7 + -21x = -119 + 0
7 + -21x = -119

Add '-7' to each side of the equation.
7 + -7 + -21x = -119 + -7

Combine like terms: 7 + -7 = 0
0 + -21x = -119 + -7
-21x = -119 + -7

Combine like terms: -119 + -7 = -126
-21x = -126

Divide each side by '-21'.
x = 6

Simplifying
x = 6

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