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Simplifying 3(2X + -9) = -5(5 + -4X) Reorder the terms: 3(-9 + 2X) = -5(5 + -4X) (-9 * 3 + 2X * 3) = -5(5 + -4X) (-27 + 6X) = -5(5 + -4X) -27 + 6X = (5 * -5 + -4X * -5) -27 + 6X = (-25 + 20X) Solving -27 + 6X = -25 + 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. -27 + 6X + -20X = -25 + 20X + -20X Combine like terms: 6X + -20X = -14X -27 + -14X = -25 + 20X + -20X Combine like terms: 20X + -20X = 0 -27 + -14X = -25 + 0 -27 + -14X = -25 Add '27' to each side of the equation. -27 + 27 + -14X = -25 + 27 Combine like terms: -27 + 27 = 0 0 + -14X = -25 + 27 -14X = -25 + 27 Combine like terms: -25 + 27 = 2 -14X = 2 Divide each side by '-14'. X = -0.1428571429 Simplifying X = -0.1428571429
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