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Simplifying x + -1(-1(3x + 1) + -5) = -2(x + 1) Reorder the terms: x + -1(-1(1 + 3x) + -5) = -2(x + 1) x + -1((1 * -1 + 3x * -1) + -5) = -2(x + 1) x + -1((-1 + -3x) + -5) = -2(x + 1) Reorder the terms: x + -1(-1 + -5 + -3x) = -2(x + 1) Combine like terms: -1 + -5 = -6 x + -1(-6 + -3x) = -2(x + 1) x + (-6 * -1 + -3x * -1) = -2(x + 1) x + (6 + 3x) = -2(x + 1) Reorder the terms: 6 + x + 3x = -2(x + 1) Combine like terms: x + 3x = 4x 6 + 4x = -2(x + 1) Reorder the terms: 6 + 4x = -2(1 + x) 6 + 4x = (1 * -2 + x * -2) 6 + 4x = (-2 + -2x) Solving 6 + 4x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 4x + 2x = -2 + -2x + 2x Combine like terms: 4x + 2x = 6x 6 + 6x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 6x = -2 + 0 6 + 6x = -2 Add '-6' to each side of the equation. 6 + -6 + 6x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -2 + -6 6x = -2 + -6 Combine like terms: -2 + -6 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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