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Simplifying 2(3x + -4) = 12 + 12x Reorder the terms: 2(-4 + 3x) = 12 + 12x (-4 * 2 + 3x * 2) = 12 + 12x (-8 + 6x) = 12 + 12x Solving -8 + 6x = 12 + 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. -8 + 6x + -12x = 12 + 12x + -12x Combine like terms: 6x + -12x = -6x -8 + -6x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -6x = 12 + 0 -8 + -6x = 12 Add '8' to each side of the equation. -8 + 8 + -6x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = 12 + 8 -6x = 12 + 8 Combine like terms: 12 + 8 = 20 -6x = 20 Divide each side by '-6'. x = -3.333333333 Simplifying x = -3.333333333
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