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Simplifying 2(3x + -4) + 3(2x + 2) = 0 Reorder the terms: 2(-4 + 3x) + 3(2x + 2) = 0 (-4 * 2 + 3x * 2) + 3(2x + 2) = 0 (-8 + 6x) + 3(2x + 2) = 0 Reorder the terms: -8 + 6x + 3(2 + 2x) = 0 -8 + 6x + (2 * 3 + 2x * 3) = 0 -8 + 6x + (6 + 6x) = 0 Reorder the terms: -8 + 6 + 6x + 6x = 0 Combine like terms: -8 + 6 = -2 -2 + 6x + 6x = 0 Combine like terms: 6x + 6x = 12x -2 + 12x = 0 Solving -2 + 12x = 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 + 12x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = 0 + 2 12x = 0 + 2 Combine like terms: 0 + 2 = 2 12x = 2 Divide each side by '12'. x = 0.1666666667 Simplifying x = 0.1666666667
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