-3x+7(-4x+11)=-109

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Solution for -3x+7(-4x+11)=-109 equation:


Simplifying
-3x + 7(-4x + 11) = -109

Reorder the terms:
-3x + 7(11 + -4x) = -109
-3x + (11 * 7 + -4x * 7) = -109
-3x + (77 + -28x) = -109

Reorder the terms:
77 + -3x + -28x = -109

Combine like terms: -3x + -28x = -31x
77 + -31x = -109

Solving
77 + -31x = -109

Solving for variable 'x'.

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

Add '-77' to each side of the equation.
77 + -77 + -31x = -109 + -77

Combine like terms: 77 + -77 = 0
0 + -31x = -109 + -77
-31x = -109 + -77

Combine like terms: -109 + -77 = -186
-31x = -186

Divide each side by '-31'.
x = 6

Simplifying
x = 6

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