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