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Simplifying 3(2x + -4) = -2(3x + 2) Reorder the terms: 3(-4 + 2x) = -2(3x + 2) (-4 * 3 + 2x * 3) = -2(3x + 2) (-12 + 6x) = -2(3x + 2) Reorder the terms: -12 + 6x = -2(2 + 3x) -12 + 6x = (2 * -2 + 3x * -2) -12 + 6x = (-4 + -6x) Solving -12 + 6x = -4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + 6x + 6x = -4 + -6x + 6x Combine like terms: 6x + 6x = 12x -12 + 12x = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 12x = -4 + 0 -12 + 12x = -4 Add '12' to each side of the equation. -12 + 12 + 12x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = -4 + 12 12x = -4 + 12 Combine like terms: -4 + 12 = 8 12x = 8 Divide each side by '12'. x = 0.6666666667 Simplifying x = 0.6666666667
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