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Simplifying 3(4x + 9) = 5(x + -1) Reorder the terms: 3(9 + 4x) = 5(x + -1) (9 * 3 + 4x * 3) = 5(x + -1) (27 + 12x) = 5(x + -1) Reorder the terms: 27 + 12x = 5(-1 + x) 27 + 12x = (-1 * 5 + x * 5) 27 + 12x = (-5 + 5x) Solving 27 + 12x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 27 + 12x + -5x = -5 + 5x + -5x Combine like terms: 12x + -5x = 7x 27 + 7x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + 7x = -5 + 0 27 + 7x = -5 Add '-27' to each side of the equation. 27 + -27 + 7x = -5 + -27 Combine like terms: 27 + -27 = 0 0 + 7x = -5 + -27 7x = -5 + -27 Combine like terms: -5 + -27 = -32 7x = -32 Divide each side by '7'. x = -4.571428571 Simplifying x = -4.571428571
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