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Simplifying 2(3x + -2) = 4 + -6x Reorder the terms: 2(-2 + 3x) = 4 + -6x (-2 * 2 + 3x * 2) = 4 + -6x (-4 + 6x) = 4 + -6x Solving -4 + 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. -4 + 6x + 6x = 4 + -6x + 6x Combine like terms: 6x + 6x = 12x -4 + 12x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 12x = 4 + 0 -4 + 12x = 4 Add '4' to each side of the equation. -4 + 4 + 12x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 12x = 4 + 4 12x = 4 + 4 Combine like terms: 4 + 4 = 8 12x = 8 Divide each side by '12'. x = 0.6666666667 Simplifying x = 0.6666666667
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