71=-6(3x+5)-7

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Solution for 71=-6(3x+5)-7 equation:


Simplifying
71 = -6(3x + 5) + -7

Reorder the terms:
71 = -6(5 + 3x) + -7
71 = (5 * -6 + 3x * -6) + -7
71 = (-30 + -18x) + -7

Reorder the terms:
71 = -30 + -7 + -18x

Combine like terms: -30 + -7 = -37
71 = -37 + -18x

Solving
71 = -37 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
71 + 18x = -37 + -18x + 18x

Combine like terms: -18x + 18x = 0
71 + 18x = -37 + 0
71 + 18x = -37

Add '-71' to each side of the equation.
71 + -71 + 18x = -37 + -71

Combine like terms: 71 + -71 = 0
0 + 18x = -37 + -71
18x = -37 + -71

Combine like terms: -37 + -71 = -108
18x = -108

Divide each side by '18'.
x = -6

Simplifying
x = -6

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