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Simplifying -6(1 + -2x) = -38 + 8x (1 * -6 + -2x * -6) = -38 + 8x (-6 + 12x) = -38 + 8x Solving -6 + 12x = -38 + 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. -6 + 12x + -8x = -38 + 8x + -8x Combine like terms: 12x + -8x = 4x -6 + 4x = -38 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + 4x = -38 + 0 -6 + 4x = -38 Add '6' to each side of the equation. -6 + 6 + 4x = -38 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -38 + 6 4x = -38 + 6 Combine like terms: -38 + 6 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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