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Simplifying 6(3X + 9) + -2X = 6(2X + -6) Reorder the terms: 6(9 + 3X) + -2X = 6(2X + -6) (9 * 6 + 3X * 6) + -2X = 6(2X + -6) (54 + 18X) + -2X = 6(2X + -6) Combine like terms: 18X + -2X = 16X 54 + 16X = 6(2X + -6) Reorder the terms: 54 + 16X = 6(-6 + 2X) 54 + 16X = (-6 * 6 + 2X * 6) 54 + 16X = (-36 + 12X) Solving 54 + 16X = -36 + 12X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12X' to each side of the equation. 54 + 16X + -12X = -36 + 12X + -12X Combine like terms: 16X + -12X = 4X 54 + 4X = -36 + 12X + -12X Combine like terms: 12X + -12X = 0 54 + 4X = -36 + 0 54 + 4X = -36 Add '-54' to each side of the equation. 54 + -54 + 4X = -36 + -54 Combine like terms: 54 + -54 = 0 0 + 4X = -36 + -54 4X = -36 + -54 Combine like terms: -36 + -54 = -90 4X = -90 Divide each side by '4'. X = -22.5 Simplifying X = -22.5
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