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Simplifying x + -2[5 + -1(1 + -3x)] = 0 x + -2[5 + (1 * -1 + -3x * -1)] = 0 x + -2[5 + (-1 + 3x)] = 0 Combine like terms: 5 + -1 = 4 x + -2[4 + 3x] = 0 x + [4 * -2 + 3x * -2] = 0 x + [-8 + -6x] = 0 Reorder the terms: -8 + x + -6x = 0 Combine like terms: x + -6x = -5x -8 + -5x = 0 Solving -8 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 0 + 8 -5x = 0 + 8 Combine like terms: 0 + 8 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6
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