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Simplifying -2(1 + -5x) = -1(x + 1) (1 * -2 + -5x * -2) = -1(x + 1) (-2 + 10x) = -1(x + 1) Reorder the terms: -2 + 10x = -1(1 + x) -2 + 10x = (1 * -1 + x * -1) -2 + 10x = (-1 + -1x) Solving -2 + 10x = -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. -2 + 10x + x = -1 + -1x + x Combine like terms: 10x + x = 11x -2 + 11x = -1 + -1x + x Combine like terms: -1x + x = 0 -2 + 11x = -1 + 0 -2 + 11x = -1 Add '2' to each side of the equation. -2 + 2 + 11x = -1 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = -1 + 2 11x = -1 + 2 Combine like terms: -1 + 2 = 1 11x = 1 Divide each side by '11'. x = 0.09090909091 Simplifying x = 0.09090909091
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