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Simplifying 5x + -2[-4x + (x + -1)] = 3(x + -2) Reorder the terms: 5x + -2[-4x + (-1 + x)] = 3(x + -2) Remove parenthesis around (-1 + x) 5x + -2[-4x + -1 + x] = 3(x + -2) Reorder the terms: 5x + -2[-1 + -4x + x] = 3(x + -2) Combine like terms: -4x + x = -3x 5x + -2[-1 + -3x] = 3(x + -2) 5x + [-1 * -2 + -3x * -2] = 3(x + -2) 5x + [2 + 6x] = 3(x + -2) Reorder the terms: 2 + 5x + 6x = 3(x + -2) Combine like terms: 5x + 6x = 11x 2 + 11x = 3(x + -2) Reorder the terms: 2 + 11x = 3(-2 + x) 2 + 11x = (-2 * 3 + x * 3) 2 + 11x = (-6 + 3x) Solving 2 + 11x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 11x + -3x = -6 + 3x + -3x Combine like terms: 11x + -3x = 8x 2 + 8x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 8x = -6 + 0 2 + 8x = -6 Add '-2' to each side of the equation. 2 + -2 + 8x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = -6 + -2 8x = -6 + -2 Combine like terms: -6 + -2 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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