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Simplifying 6(x + -4) = 3(4x + -2) Reorder the terms: 6(-4 + x) = 3(4x + -2) (-4 * 6 + x * 6) = 3(4x + -2) (-24 + 6x) = 3(4x + -2) Reorder the terms: -24 + 6x = 3(-2 + 4x) -24 + 6x = (-2 * 3 + 4x * 3) -24 + 6x = (-6 + 12x) Solving -24 + 6x = -6 + 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 = -6 + 12x + -12x Combine like terms: 6x + -12x = -6x -24 + -6x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + -6x = -6 + 0 -24 + -6x = -6 Add '24' to each side of the equation. -24 + 24 + -6x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = -6 + 24 -6x = -6 + 24 Combine like terms: -6 + 24 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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