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Simplifying 4(3x + 2) = -3(2x + -3) Reorder the terms: 4(2 + 3x) = -3(2x + -3) (2 * 4 + 3x * 4) = -3(2x + -3) (8 + 12x) = -3(2x + -3) Reorder the terms: 8 + 12x = -3(-3 + 2x) 8 + 12x = (-3 * -3 + 2x * -3) 8 + 12x = (9 + -6x) Solving 8 + 12x = 9 + -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. 8 + 12x + 6x = 9 + -6x + 6x Combine like terms: 12x + 6x = 18x 8 + 18x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 18x = 9 + 0 8 + 18x = 9 Add '-8' to each side of the equation. 8 + -8 + 18x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 18x = 9 + -8 18x = 9 + -8 Combine like terms: 9 + -8 = 1 18x = 1 Divide each side by '18'. x = 0.05555555556 Simplifying x = 0.05555555556
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