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Simplifying -6(-5x + 4) + -9X = 3(X + -8) + -3 Reorder the terms: -6(4 + -5x) + -9X = 3(X + -8) + -3 (4 * -6 + -5x * -6) + -9X = 3(X + -8) + -3 (-24 + 30x) + -9X = 3(X + -8) + -3 Reorder the terms: -24 + -9X + 30x = 3(X + -8) + -3 Reorder the terms: -24 + -9X + 30x = 3(-8 + X) + -3 -24 + -9X + 30x = (-8 * 3 + X * 3) + -3 -24 + -9X + 30x = (-24 + 3X) + -3 Reorder the terms: -24 + -9X + 30x = -24 + -3 + 3X Combine like terms: -24 + -3 = -27 -24 + -9X + 30x = -27 + 3X Solving -24 + -9X + 30x = -27 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. -24 + -9X + -3X + 30x = -27 + 3X + -3X Combine like terms: -9X + -3X = -12X -24 + -12X + 30x = -27 + 3X + -3X Combine like terms: 3X + -3X = 0 -24 + -12X + 30x = -27 + 0 -24 + -12X + 30x = -27 Add '24' to each side of the equation. -24 + -12X + 24 + 30x = -27 + 24 Reorder the terms: -24 + 24 + -12X + 30x = -27 + 24 Combine like terms: -24 + 24 = 0 0 + -12X + 30x = -27 + 24 -12X + 30x = -27 + 24 Combine like terms: -27 + 24 = -3 -12X + 30x = -3 Add '-30x' to each side of the equation. -12X + 30x + -30x = -3 + -30x Combine like terms: 30x + -30x = 0 -12X + 0 = -3 + -30x -12X = -3 + -30x Divide each side by '-12'. X = 0.25 + 2.5x Simplifying X = 0.25 + 2.5x
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