7x+42=1-6x-30

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Solution for 7x+42=1-6x-30 equation:


Simplifying
7x + 42 = 1 + -6x + -30

Reorder the terms:
42 + 7x = 1 + -6x + -30

Reorder the terms:
42 + 7x = 1 + -30 + -6x

Combine like terms: 1 + -30 = -29
42 + 7x = -29 + -6x

Solving
42 + 7x = -29 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
42 + 7x + 6x = -29 + -6x + 6x

Combine like terms: 7x + 6x = 13x
42 + 13x = -29 + -6x + 6x

Combine like terms: -6x + 6x = 0
42 + 13x = -29 + 0
42 + 13x = -29

Add '-42' to each side of the equation.
42 + -42 + 13x = -29 + -42

Combine like terms: 42 + -42 = 0
0 + 13x = -29 + -42
13x = -29 + -42

Combine like terms: -29 + -42 = -71
13x = -71

Divide each side by '13'.
x = -5.461538462

Simplifying
x = -5.461538462

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