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Simplifying 9(3x + 4) + -2x = 11 + 5(4x + -1) Reorder the terms: 9(4 + 3x) + -2x = 11 + 5(4x + -1) (4 * 9 + 3x * 9) + -2x = 11 + 5(4x + -1) (36 + 27x) + -2x = 11 + 5(4x + -1) Combine like terms: 27x + -2x = 25x 36 + 25x = 11 + 5(4x + -1) Reorder the terms: 36 + 25x = 11 + 5(-1 + 4x) 36 + 25x = 11 + (-1 * 5 + 4x * 5) 36 + 25x = 11 + (-5 + 20x) Combine like terms: 11 + -5 = 6 36 + 25x = 6 + 20x Solving 36 + 25x = 6 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 36 + 25x + -20x = 6 + 20x + -20x Combine like terms: 25x + -20x = 5x 36 + 5x = 6 + 20x + -20x Combine like terms: 20x + -20x = 0 36 + 5x = 6 + 0 36 + 5x = 6 Add '-36' to each side of the equation. 36 + -36 + 5x = 6 + -36 Combine like terms: 36 + -36 = 0 0 + 5x = 6 + -36 5x = 6 + -36 Combine like terms: 6 + -36 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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