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Simplifying -4(3X + -1) = 5(2X + -1) + 9 Reorder the terms: -4(-1 + 3X) = 5(2X + -1) + 9 (-1 * -4 + 3X * -4) = 5(2X + -1) + 9 (4 + -12X) = 5(2X + -1) + 9 Reorder the terms: 4 + -12X = 5(-1 + 2X) + 9 4 + -12X = (-1 * 5 + 2X * 5) + 9 4 + -12X = (-5 + 10X) + 9 Reorder the terms: 4 + -12X = -5 + 9 + 10X Combine like terms: -5 + 9 = 4 4 + -12X = 4 + 10X Add '-4' to each side of the equation. 4 + -4 + -12X = 4 + -4 + 10X Combine like terms: 4 + -4 = 0 0 + -12X = 4 + -4 + 10X -12X = 4 + -4 + 10X Combine like terms: 4 + -4 = 0 -12X = 0 + 10X -12X = 10X Solving -12X = 10X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10X' to each side of the equation. -12X + -10X = 10X + -10X Combine like terms: -12X + -10X = -22X -22X = 10X + -10X Combine like terms: 10X + -10X = 0 -22X = 0 Divide each side by '-22'. X = 0 Simplifying X = 0
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