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Simplifying 3(X + 12) = 2(2X + -16) Reorder the terms: 3(12 + X) = 2(2X + -16) (12 * 3 + X * 3) = 2(2X + -16) (36 + 3X) = 2(2X + -16) Reorder the terms: 36 + 3X = 2(-16 + 2X) 36 + 3X = (-16 * 2 + 2X * 2) 36 + 3X = (-32 + 4X) Solving 36 + 3X = -32 + 4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4X' to each side of the equation. 36 + 3X + -4X = -32 + 4X + -4X Combine like terms: 3X + -4X = -1X 36 + -1X = -32 + 4X + -4X Combine like terms: 4X + -4X = 0 36 + -1X = -32 + 0 36 + -1X = -32 Add '-36' to each side of the equation. 36 + -36 + -1X = -32 + -36 Combine like terms: 36 + -36 = 0 0 + -1X = -32 + -36 -1X = -32 + -36 Combine like terms: -32 + -36 = -68 -1X = -68 Divide each side by '-1'. X = 68 Simplifying X = 68
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