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Simplifying 2x + -3(2x + -9) = 5(3x + -8) + 8x Reorder the terms: 2x + -3(-9 + 2x) = 5(3x + -8) + 8x 2x + (-9 * -3 + 2x * -3) = 5(3x + -8) + 8x 2x + (27 + -6x) = 5(3x + -8) + 8x Reorder the terms: 27 + 2x + -6x = 5(3x + -8) + 8x Combine like terms: 2x + -6x = -4x 27 + -4x = 5(3x + -8) + 8x Reorder the terms: 27 + -4x = 5(-8 + 3x) + 8x 27 + -4x = (-8 * 5 + 3x * 5) + 8x 27 + -4x = (-40 + 15x) + 8x Combine like terms: 15x + 8x = 23x 27 + -4x = -40 + 23x Solving 27 + -4x = -40 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 27 + -4x + -23x = -40 + 23x + -23x Combine like terms: -4x + -23x = -27x 27 + -27x = -40 + 23x + -23x Combine like terms: 23x + -23x = 0 27 + -27x = -40 + 0 27 + -27x = -40 Add '-27' to each side of the equation. 27 + -27 + -27x = -40 + -27 Combine like terms: 27 + -27 = 0 0 + -27x = -40 + -27 -27x = -40 + -27 Combine like terms: -40 + -27 = -67 -27x = -67 Divide each side by '-27'. x = 2.481481481 Simplifying x = 2.481481481
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