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Simplifying -6(1 + -7x) = 11(3x + -12) (1 * -6 + -7x * -6) = 11(3x + -12) (-6 + 42x) = 11(3x + -12) Reorder the terms: -6 + 42x = 11(-12 + 3x) -6 + 42x = (-12 * 11 + 3x * 11) -6 + 42x = (-132 + 33x) Solving -6 + 42x = -132 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. -6 + 42x + -33x = -132 + 33x + -33x Combine like terms: 42x + -33x = 9x -6 + 9x = -132 + 33x + -33x Combine like terms: 33x + -33x = 0 -6 + 9x = -132 + 0 -6 + 9x = -132 Add '6' to each side of the equation. -6 + 6 + 9x = -132 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = -132 + 6 9x = -132 + 6 Combine like terms: -132 + 6 = -126 9x = -126 Divide each side by '9'. x = -14 Simplifying x = -14
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