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Simplifying -3(1 + -4x) = -31 + 8x (1 * -3 + -4x * -3) = -31 + 8x (-3 + 12x) = -31 + 8x Solving -3 + 12x = -31 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 12x + -8x = -31 + 8x + -8x Combine like terms: 12x + -8x = 4x -3 + 4x = -31 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + 4x = -31 + 0 -3 + 4x = -31 Add '3' to each side of the equation. -3 + 3 + 4x = -31 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = -31 + 3 4x = -31 + 3 Combine like terms: -31 + 3 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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