6x+7(7x+28)=31

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Solution for 6x+7(7x+28)=31 equation:


Simplifying
6x + 7(7x + 28) = 31

Reorder the terms:
6x + 7(28 + 7x) = 31
6x + (28 * 7 + 7x * 7) = 31
6x + (196 + 49x) = 31

Reorder the terms:
196 + 6x + 49x = 31

Combine like terms: 6x + 49x = 55x
196 + 55x = 31

Solving
196 + 55x = 31

Solving for variable 'x'.

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

Add '-196' to each side of the equation.
196 + -196 + 55x = 31 + -196

Combine like terms: 196 + -196 = 0
0 + 55x = 31 + -196
55x = 31 + -196

Combine like terms: 31 + -196 = -165
55x = -165

Divide each side by '55'.
x = -3

Simplifying
x = -3

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