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Simplifying -1(1 + 8x) = 3x + 32 (1 * -1 + 8x * -1) = 3x + 32 (-1 + -8x) = 3x + 32 Reorder the terms: -1 + -8x = 32 + 3x Solving -1 + -8x = 32 + 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. -1 + -8x + -3x = 32 + 3x + -3x Combine like terms: -8x + -3x = -11x -1 + -11x = 32 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -11x = 32 + 0 -1 + -11x = 32 Add '1' to each side of the equation. -1 + 1 + -11x = 32 + 1 Combine like terms: -1 + 1 = 0 0 + -11x = 32 + 1 -11x = 32 + 1 Combine like terms: 32 + 1 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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