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Simplifying 6(2x + 1) = -11(x + 1) Reorder the terms: 6(1 + 2x) = -11(x + 1) (1 * 6 + 2x * 6) = -11(x + 1) (6 + 12x) = -11(x + 1) Reorder the terms: 6 + 12x = -11(1 + x) 6 + 12x = (1 * -11 + x * -11) 6 + 12x = (-11 + -11x) Solving 6 + 12x = -11 + -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 + 12x + 11x = -11 + -11x + 11x Combine like terms: 12x + 11x = 23x 6 + 23x = -11 + -11x + 11x Combine like terms: -11x + 11x = 0 6 + 23x = -11 + 0 6 + 23x = -11 Add '-6' to each side of the equation. 6 + -6 + 23x = -11 + -6 Combine like terms: 6 + -6 = 0 0 + 23x = -11 + -6 23x = -11 + -6 Combine like terms: -11 + -6 = -17 23x = -17 Divide each side by '23'. x = -0.7391304348 Simplifying x = -0.7391304348
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