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Simplifying -4(x + 6) = 12x Reorder the terms: -4(6 + x) = 12x (6 * -4 + x * -4) = 12x (-24 + -4x) = 12x Solving -24 + -4x = 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 + -4x + -12x = 12x + -12x Combine like terms: -4x + -12x = -16x -24 + -16x = 12x + -12x Combine like terms: 12x + -12x = 0 -24 + -16x = 0 Add '24' to each side of the equation. -24 + 24 + -16x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -16x = 0 + 24 -16x = 0 + 24 Combine like terms: 0 + 24 = 24 -16x = 24 Divide each side by '-16'. x = -1.5 Simplifying x = -1.5
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