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