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Simplifying -4(-1 + -8x) + 8 = 3x + -17 (-1 * -4 + -8x * -4) + 8 = 3x + -17 (4 + 32x) + 8 = 3x + -17 Reorder the terms: 4 + 8 + 32x = 3x + -17 Combine like terms: 4 + 8 = 12 12 + 32x = 3x + -17 Reorder the terms: 12 + 32x = -17 + 3x Solving 12 + 32x = -17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 32x + -3x = -17 + 3x + -3x Combine like terms: 32x + -3x = 29x 12 + 29x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 29x = -17 + 0 12 + 29x = -17 Add '-12' to each side of the equation. 12 + -12 + 29x = -17 + -12 Combine like terms: 12 + -12 = 0 0 + 29x = -17 + -12 29x = -17 + -12 Combine like terms: -17 + -12 = -29 29x = -29 Divide each side by '29'. x = -1 Simplifying x = -1
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