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Simplifying -1(1 + -8x) = 31 + 4x (1 * -1 + -8x * -1) = 31 + 4x (-1 + 8x) = 31 + 4x Solving -1 + 8x = 31 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 8x + -4x = 31 + 4x + -4x Combine like terms: 8x + -4x = 4x -1 + 4x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + 4x = 31 + 0 -1 + 4x = 31 Add '1' to each side of the equation. -1 + 1 + 4x = 31 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 31 + 1 4x = 31 + 1 Combine like terms: 31 + 1 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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