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Simplifying 3(4x + -2) + -2(3x + -4) = 0 Reorder the terms: 3(-2 + 4x) + -2(3x + -4) = 0 (-2 * 3 + 4x * 3) + -2(3x + -4) = 0 (-6 + 12x) + -2(3x + -4) = 0 Reorder the terms: -6 + 12x + -2(-4 + 3x) = 0 -6 + 12x + (-4 * -2 + 3x * -2) = 0 -6 + 12x + (8 + -6x) = 0 Reorder the terms: -6 + 8 + 12x + -6x = 0 Combine like terms: -6 + 8 = 2 2 + 12x + -6x = 0 Combine like terms: 12x + -6x = 6x 2 + 6x = 0 Solving 2 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 0 + -2 6x = 0 + -2 Combine like terms: 0 + -2 = -2 6x = -2 Divide each side by '6'. x = -0.3333333333 Simplifying x = -0.3333333333
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