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Simplifying 8x + -11(-8x + 11) = 5(11x + -5) + 9x Reorder the terms: 8x + -11(11 + -8x) = 5(11x + -5) + 9x 8x + (11 * -11 + -8x * -11) = 5(11x + -5) + 9x 8x + (-121 + 88x) = 5(11x + -5) + 9x Reorder the terms: -121 + 8x + 88x = 5(11x + -5) + 9x Combine like terms: 8x + 88x = 96x -121 + 96x = 5(11x + -5) + 9x Reorder the terms: -121 + 96x = 5(-5 + 11x) + 9x -121 + 96x = (-5 * 5 + 11x * 5) + 9x -121 + 96x = (-25 + 55x) + 9x Combine like terms: 55x + 9x = 64x -121 + 96x = -25 + 64x Solving -121 + 96x = -25 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. -121 + 96x + -64x = -25 + 64x + -64x Combine like terms: 96x + -64x = 32x -121 + 32x = -25 + 64x + -64x Combine like terms: 64x + -64x = 0 -121 + 32x = -25 + 0 -121 + 32x = -25 Add '121' to each side of the equation. -121 + 121 + 32x = -25 + 121 Combine like terms: -121 + 121 = 0 0 + 32x = -25 + 121 32x = -25 + 121 Combine like terms: -25 + 121 = 96 32x = 96 Divide each side by '32'. x = 3 Simplifying x = 3
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