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Simplifying -2(1 + -2x + -8x) = -17 + -1x Combine like terms: -2x + -8x = -10x -2(1 + -10x) = -17 + -1x (1 * -2 + -10x * -2) = -17 + -1x (-2 + 20x) = -17 + -1x Solving -2 + 20x = -17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + 20x + x = -17 + -1x + x Combine like terms: 20x + x = 21x -2 + 21x = -17 + -1x + x Combine like terms: -1x + x = 0 -2 + 21x = -17 + 0 -2 + 21x = -17 Add '2' to each side of the equation. -2 + 2 + 21x = -17 + 2 Combine like terms: -2 + 2 = 0 0 + 21x = -17 + 2 21x = -17 + 2 Combine like terms: -17 + 2 = -15 21x = -15 Divide each side by '21'. x = -0.7142857143 Simplifying x = -0.7142857143
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