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Simplifying 2 + -1(x + -6) = 11(x + 9) Reorder the terms: 2 + -1(-6 + x) = 11(x + 9) 2 + (-6 * -1 + x * -1) = 11(x + 9) 2 + (6 + -1x) = 11(x + 9) Combine like terms: 2 + 6 = 8 8 + -1x = 11(x + 9) Reorder the terms: 8 + -1x = 11(9 + x) 8 + -1x = (9 * 11 + x * 11) 8 + -1x = (99 + 11x) Solving 8 + -1x = 99 + 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. 8 + -1x + -11x = 99 + 11x + -11x Combine like terms: -1x + -11x = -12x 8 + -12x = 99 + 11x + -11x Combine like terms: 11x + -11x = 0 8 + -12x = 99 + 0 8 + -12x = 99 Add '-8' to each side of the equation. 8 + -8 + -12x = 99 + -8 Combine like terms: 8 + -8 = 0 0 + -12x = 99 + -8 -12x = 99 + -8 Combine like terms: 99 + -8 = 91 -12x = 91 Divide each side by '-12'. x = -7.583333333 Simplifying x = -7.583333333
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