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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 = -1x 6 + -1x = 11 + -11x + 11x Combine like terms: -11x + 11x = 0 6 + -1x = 11 + 0 6 + -1x = 11 Add '-6' to each side of the equation. 6 + -6 + -1x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 11 + -6 -1x = 11 + -6 Combine like terms: 11 + -6 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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