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Simplifying 2(3x + 2) = 3 + -6x Reorder the terms: 2(2 + 3x) = 3 + -6x (2 * 2 + 3x * 2) = 3 + -6x (4 + 6x) = 3 + -6x Solving 4 + 6x = 3 + -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 = 3 + -6x + 6x Combine like terms: 6x + 6x = 12x 4 + 12x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 12x = 3 + 0 4 + 12x = 3 Add '-4' to each side of the equation. 4 + -4 + 12x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = 3 + -4 12x = 3 + -4 Combine like terms: 3 + -4 = -1 12x = -1 Divide each side by '12'. x = -0.08333333333 Simplifying x = -0.08333333333
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