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Simplifying 4X + -3(2x + -4) = 5(3X + -9) + 5x Reorder the terms: 4X + -3(-4 + 2x) = 5(3X + -9) + 5x 4X + (-4 * -3 + 2x * -3) = 5(3X + -9) + 5x 4X + (12 + -6x) = 5(3X + -9) + 5x Reorder the terms: 12 + 4X + -6x = 5(3X + -9) + 5x Reorder the terms: 12 + 4X + -6x = 5(-9 + 3X) + 5x 12 + 4X + -6x = (-9 * 5 + 3X * 5) + 5x 12 + 4X + -6x = (-45 + 15X) + 5x Solving 12 + 4X + -6x = -45 + 15X + 5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15X' to each side of the equation. 12 + 4X + -15X + -6x = -45 + 15X + -15X + 5x Combine like terms: 4X + -15X = -11X 12 + -11X + -6x = -45 + 15X + -15X + 5x Combine like terms: 15X + -15X = 0 12 + -11X + -6x = -45 + 0 + 5x 12 + -11X + -6x = -45 + 5x Add '-12' to each side of the equation. 12 + -11X + -12 + -6x = -45 + -12 + 5x Reorder the terms: 12 + -12 + -11X + -6x = -45 + -12 + 5x Combine like terms: 12 + -12 = 0 0 + -11X + -6x = -45 + -12 + 5x -11X + -6x = -45 + -12 + 5x Combine like terms: -45 + -12 = -57 -11X + -6x = -57 + 5x Add '6x' to each side of the equation. -11X + -6x + 6x = -57 + 5x + 6x Combine like terms: -6x + 6x = 0 -11X + 0 = -57 + 5x + 6x -11X = -57 + 5x + 6x Combine like terms: 5x + 6x = 11x -11X = -57 + 11x Divide each side by '-11'. X = 5.181818182 + -1x Simplifying X = 5.181818182 + -1x
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