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Simplifying 2(x + 1) = -3(3x + -2) Reorder the terms: 2(1 + x) = -3(3x + -2) (1 * 2 + x * 2) = -3(3x + -2) (2 + 2x) = -3(3x + -2) Reorder the terms: 2 + 2x = -3(-2 + 3x) 2 + 2x = (-2 * -3 + 3x * -3) 2 + 2x = (6 + -9x) Solving 2 + 2x = 6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 2 + 2x + 9x = 6 + -9x + 9x Combine like terms: 2x + 9x = 11x 2 + 11x = 6 + -9x + 9x Combine like terms: -9x + 9x = 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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