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Simplifying -6(4 + -1x) = 12x (4 * -6 + -1x * -6) = 12x (-24 + 6x) = 12x Solving -24 + 6x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -24 + 6x + -12x = 12x + -12x Combine like terms: 6x + -12x = -6x -24 + -6x = 12x + -12x Combine like terms: 12x + -12x = 0 -24 + -6x = 0 Add '24' to each side of the equation. -24 + 24 + -6x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = 0 + 24 -6x = 0 + 24 Combine like terms: 0 + 24 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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