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Simplifying 3(2x + 1) = -2(3x + -5) Reorder the terms: 3(1 + 2x) = -2(3x + -5) (1 * 3 + 2x * 3) = -2(3x + -5) (3 + 6x) = -2(3x + -5) Reorder the terms: 3 + 6x = -2(-5 + 3x) 3 + 6x = (-5 * -2 + 3x * -2) 3 + 6x = (10 + -6x) Solving 3 + 6x = 10 + -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 = 10 + -6x + 6x Combine like terms: 6x + 6x = 12x 3 + 12x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + 12x = 10 + 0 3 + 12x = 10 Add '-3' to each side of the equation. 3 + -3 + 12x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 12x = 10 + -3 12x = 10 + -3 Combine like terms: 10 + -3 = 7 12x = 7 Divide each side by '12'. x = 0.5833333333 Simplifying x = 0.5833333333
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