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Simplifying 2(3x + 2) = -3(4x + -3) Reorder the terms: 2(2 + 3x) = -3(4x + -3) (2 * 2 + 3x * 2) = -3(4x + -3) (4 + 6x) = -3(4x + -3) Reorder the terms: 4 + 6x = -3(-3 + 4x) 4 + 6x = (-3 * -3 + 4x * -3) 4 + 6x = (9 + -12x) Solving 4 + 6x = 9 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 4 + 6x + 12x = 9 + -12x + 12x Combine like terms: 6x + 12x = 18x 4 + 18x = 9 + -12x + 12x Combine like terms: -12x + 12x = 0 4 + 18x = 9 + 0 4 + 18x = 9 Add '-4' to each side of the equation. 4 + -4 + 18x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 18x = 9 + -4 18x = 9 + -4 Combine like terms: 9 + -4 = 5 18x = 5 Divide each side by '18'. x = 0.2777777778 Simplifying x = 0.2777777778
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