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Simplifying 6x + -1[2 + -1(x + -1)] = x + -5(x + 1) Reorder the terms: 6x + -1[2 + -1(-1 + x)] = x + -5(x + 1) 6x + -1[2 + (-1 * -1 + x * -1)] = x + -5(x + 1) 6x + -1[2 + (1 + -1x)] = x + -5(x + 1) Combine like terms: 2 + 1 = 3 6x + -1[3 + -1x] = x + -5(x + 1) 6x + [3 * -1 + -1x * -1] = x + -5(x + 1) 6x + [-3 + 1x] = x + -5(x + 1) Reorder the terms: -3 + 6x + 1x = x + -5(x + 1) Combine like terms: 6x + 1x = 7x -3 + 7x = x + -5(x + 1) Reorder the terms: -3 + 7x = x + -5(1 + x) -3 + 7x = x + (1 * -5 + x * -5) -3 + 7x = x + (-5 + -5x) Reorder the terms: -3 + 7x = -5 + x + -5x Combine like terms: x + -5x = -4x -3 + 7x = -5 + -4x Solving -3 + 7x = -5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + 7x + 4x = -5 + -4x + 4x Combine like terms: 7x + 4x = 11x -3 + 11x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 11x = -5 + 0 -3 + 11x = -5 Add '3' to each side of the equation. -3 + 3 + 11x = -5 + 3 Combine like terms: -3 + 3 = 0 0 + 11x = -5 + 3 11x = -5 + 3 Combine like terms: -5 + 3 = -2 11x = -2 Divide each side by '11'. x = -0.1818181818 Simplifying x = -0.1818181818
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