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Simplifying 3(2x + 1) = -2(3x + -4) Reorder the terms: 3(1 + 2x) = -2(3x + -4) (1 * 3 + 2x * 3) = -2(3x + -4) (3 + 6x) = -2(3x + -4) Reorder the terms: 3 + 6x = -2(-4 + 3x) 3 + 6x = (-4 * -2 + 3x * -2) 3 + 6x = (8 + -6x) Solving 3 + 6x = 8 + -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. 3 + 6x + 6x = 8 + -6x + 6x Combine like terms: 6x + 6x = 12x 3 + 12x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + 12x = 8 + 0 3 + 12x = 8 Add '-3' to each side of the equation. 3 + -3 + 12x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 12x = 8 + -3 12x = 8 + -3 Combine like terms: 8 + -3 = 5 12x = 5 Divide each side by '12'. x = 0.4166666667 Simplifying x = 0.4166666667
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