7(7x+1)=-34+8x

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Solution for 7(7x+1)=-34+8x equation:


Simplifying
7(7x + 1) = -34 + 8x

Reorder the terms:
7(1 + 7x) = -34 + 8x
(1 * 7 + 7x * 7) = -34 + 8x
(7 + 49x) = -34 + 8x

Solving
7 + 49x = -34 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
7 + 49x + -8x = -34 + 8x + -8x

Combine like terms: 49x + -8x = 41x
7 + 41x = -34 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + 41x = -34 + 0
7 + 41x = -34

Add '-7' to each side of the equation.
7 + -7 + 41x = -34 + -7

Combine like terms: 7 + -7 = 0
0 + 41x = -34 + -7
41x = -34 + -7

Combine like terms: -34 + -7 = -41
41x = -41

Divide each side by '41'.
x = -1

Simplifying
x = -1

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