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Simplifying -9(3x + 11) + 7(12x + -3) = 2x + -5x Reorder the terms: -9(11 + 3x) + 7(12x + -3) = 2x + -5x (11 * -9 + 3x * -9) + 7(12x + -3) = 2x + -5x (-99 + -27x) + 7(12x + -3) = 2x + -5x Reorder the terms: -99 + -27x + 7(-3 + 12x) = 2x + -5x -99 + -27x + (-3 * 7 + 12x * 7) = 2x + -5x -99 + -27x + (-21 + 84x) = 2x + -5x Reorder the terms: -99 + -21 + -27x + 84x = 2x + -5x Combine like terms: -99 + -21 = -120 -120 + -27x + 84x = 2x + -5x Combine like terms: -27x + 84x = 57x -120 + 57x = 2x + -5x Combine like terms: 2x + -5x = -3x -120 + 57x = -3x Solving -120 + 57x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -120 + 57x + 3x = -3x + 3x Combine like terms: 57x + 3x = 60x -120 + 60x = -3x + 3x Combine like terms: -3x + 3x = 0 -120 + 60x = 0 Add '120' to each side of the equation. -120 + 120 + 60x = 0 + 120 Combine like terms: -120 + 120 = 0 0 + 60x = 0 + 120 60x = 0 + 120 Combine like terms: 0 + 120 = 120 60x = 120 Divide each side by '60'. x = 2 Simplifying x = 2
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