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Simplifying -1(x + -6) = 11(x + -6) Reorder the terms: -1(-6 + x) = 11(x + -6) (-6 * -1 + x * -1) = 11(x + -6) (6 + -1x) = 11(x + -6) Reorder the terms: 6 + -1x = 11(-6 + x) 6 + -1x = (-6 * 11 + x * 11) 6 + -1x = (-66 + 11x) Solving 6 + -1x = -66 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 6 + -1x + -11x = -66 + 11x + -11x Combine like terms: -1x + -11x = -12x 6 + -12x = -66 + 11x + -11x Combine like terms: 11x + -11x = 0 6 + -12x = -66 + 0 6 + -12x = -66 Add '-6' to each side of the equation. 6 + -6 + -12x = -66 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = -66 + -6 -12x = -66 + -6 Combine like terms: -66 + -6 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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