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Simplifying 3(3x + 2) + -4 = -2(x + -3) Reorder the terms: 3(2 + 3x) + -4 = -2(x + -3) (2 * 3 + 3x * 3) + -4 = -2(x + -3) (6 + 9x) + -4 = -2(x + -3) Reorder the terms: 6 + -4 + 9x = -2(x + -3) Combine like terms: 6 + -4 = 2 2 + 9x = -2(x + -3) Reorder the terms: 2 + 9x = -2(-3 + x) 2 + 9x = (-3 * -2 + x * -2) 2 + 9x = (6 + -2x) Solving 2 + 9x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + 9x + 2x = 6 + -2x + 2x Combine like terms: 9x + 2x = 11x 2 + 11x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 11x = 6 + 0 2 + 11x = 6 Add '-2' to each side of the equation. 2 + -2 + 11x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 6 + -2 11x = 6 + -2 Combine like terms: 6 + -2 = 4 11x = 4 Divide each side by '11'. x = 0.3636363636 Simplifying x = 0.3636363636
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