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Simplifying 2 + -6(2x + -3) = -1(x + 1) Reorder the terms: 2 + -6(-3 + 2x) = -1(x + 1) 2 + (-3 * -6 + 2x * -6) = -1(x + 1) 2 + (18 + -12x) = -1(x + 1) Combine like terms: 2 + 18 = 20 20 + -12x = -1(x + 1) Reorder the terms: 20 + -12x = -1(1 + x) 20 + -12x = (1 * -1 + x * -1) 20 + -12x = (-1 + -1x) Solving 20 + -12x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 20 + -12x + x = -1 + -1x + x Combine like terms: -12x + x = -11x 20 + -11x = -1 + -1x + x Combine like terms: -1x + x = 0 20 + -11x = -1 + 0 20 + -11x = -1 Add '-20' to each side of the equation. 20 + -20 + -11x = -1 + -20 Combine like terms: 20 + -20 = 0 0 + -11x = -1 + -20 -11x = -1 + -20 Combine like terms: -1 + -20 = -21 -11x = -21 Divide each side by '-11'. x = 1.909090909 Simplifying x = 1.909090909
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