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Simplifying -2[3 + 4(x + -1)] = 1 Reorder the terms: -2[3 + 4(-1 + x)] = 1 -2[3 + (-1 * 4 + x * 4)] = 1 -2[3 + (-4 + 4x)] = 1 Combine like terms: 3 + -4 = -1 -2[-1 + 4x] = 1 [-1 * -2 + 4x * -2] = 1 [2 + -8x] = 1 Solving 2 + -8x = 1 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 + -8x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = 1 + -2 -8x = 1 + -2 Combine like terms: 1 + -2 = -1 -8x = -1 Divide each side by '-8'. x = 0.125 Simplifying x = 0.125
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