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Simplifying -8(1 + -4x) = x + -39 (1 * -8 + -4x * -8) = x + -39 (-8 + 32x) = x + -39 Reorder the terms: -8 + 32x = -39 + x Solving -8 + 32x = -39 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 32x + -1x = -39 + x + -1x Combine like terms: 32x + -1x = 31x -8 + 31x = -39 + x + -1x Combine like terms: x + -1x = 0 -8 + 31x = -39 + 0 -8 + 31x = -39 Add '8' to each side of the equation. -8 + 8 + 31x = -39 + 8 Combine like terms: -8 + 8 = 0 0 + 31x = -39 + 8 31x = -39 + 8 Combine like terms: -39 + 8 = -31 31x = -31 Divide each side by '31'. x = -1 Simplifying x = -1
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