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Simplifying 2(x + 3) = 9 + -3(4x + 5) Reorder the terms: 2(3 + x) = 9 + -3(4x + 5) (3 * 2 + x * 2) = 9 + -3(4x + 5) (6 + 2x) = 9 + -3(4x + 5) Reorder the terms: 6 + 2x = 9 + -3(5 + 4x) 6 + 2x = 9 + (5 * -3 + 4x * -3) 6 + 2x = 9 + (-15 + -12x) Combine like terms: 9 + -15 = -6 6 + 2x = -6 + -12x Solving 6 + 2x = -6 + -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. 6 + 2x + 12x = -6 + -12x + 12x Combine like terms: 2x + 12x = 14x 6 + 14x = -6 + -12x + 12x Combine like terms: -12x + 12x = 0 6 + 14x = -6 + 0 6 + 14x = -6 Add '-6' to each side of the equation. 6 + -6 + 14x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = -6 + -6 14x = -6 + -6 Combine like terms: -6 + -6 = -12 14x = -12 Divide each side by '14'. x = -0.8571428571 Simplifying x = -0.8571428571
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