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Simplifying 5(x + 1) = -1(6x + -2) Reorder the terms: 5(1 + x) = -1(6x + -2) (1 * 5 + x * 5) = -1(6x + -2) (5 + 5x) = -1(6x + -2) Reorder the terms: 5 + 5x = -1(-2 + 6x) 5 + 5x = (-2 * -1 + 6x * -1) 5 + 5x = (2 + -6x) Solving 5 + 5x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 5 + 5x + 6x = 2 + -6x + 6x Combine like terms: 5x + 6x = 11x 5 + 11x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 11x = 2 + 0 5 + 11x = 2 Add '-5' to each side of the equation. 5 + -5 + 11x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 2 + -5 11x = 2 + -5 Combine like terms: 2 + -5 = -3 11x = -3 Divide each side by '11'. x = -0.2727272727 Simplifying x = -0.2727272727
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