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Simplifying 3(11x + -9) = 5(5x + -8) Reorder the terms: 3(-9 + 11x) = 5(5x + -8) (-9 * 3 + 11x * 3) = 5(5x + -8) (-27 + 33x) = 5(5x + -8) Reorder the terms: -27 + 33x = 5(-8 + 5x) -27 + 33x = (-8 * 5 + 5x * 5) -27 + 33x = (-40 + 25x) Solving -27 + 33x = -40 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -27 + 33x + -25x = -40 + 25x + -25x Combine like terms: 33x + -25x = 8x -27 + 8x = -40 + 25x + -25x Combine like terms: 25x + -25x = 0 -27 + 8x = -40 + 0 -27 + 8x = -40 Add '27' to each side of the equation. -27 + 27 + 8x = -40 + 27 Combine like terms: -27 + 27 = 0 0 + 8x = -40 + 27 8x = -40 + 27 Combine like terms: -40 + 27 = -13 8x = -13 Divide each side by '8'. x = -1.625 Simplifying x = -1.625
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