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Simplifying -2(1 + -4x) = -1[-3 + 2(8 + -1x)] (1 * -2 + -4x * -2) = -1[-3 + 2(8 + -1x)] (-2 + 8x) = -1[-3 + 2(8 + -1x)] -2 + 8x = -1[-3 + (8 * 2 + -1x * 2)] -2 + 8x = -1[-3 + (16 + -2x)] Combine like terms: -3 + 16 = 13 -2 + 8x = -1[13 + -2x] -2 + 8x = [13 * -1 + -2x * -1] -2 + 8x = [-13 + 2x] Solving -2 + 8x = -13 + 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. -2 + 8x + -2x = -13 + 2x + -2x Combine like terms: 8x + -2x = 6x -2 + 6x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 6x = -13 + 0 -2 + 6x = -13 Add '2' to each side of the equation. -2 + 2 + 6x = -13 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = -13 + 2 6x = -13 + 2 Combine like terms: -13 + 2 = -11 6x = -11 Divide each side by '6'. x = -1.833333333 Simplifying x = -1.833333333
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