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Simplifying -12(X + -9) = 3(X + 16) Reorder the terms: -12(-9 + X) = 3(X + 16) (-9 * -12 + X * -12) = 3(X + 16) (108 + -12X) = 3(X + 16) Reorder the terms: 108 + -12X = 3(16 + X) 108 + -12X = (16 * 3 + X * 3) 108 + -12X = (48 + 3X) Solving 108 + -12X = 48 + 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. 108 + -12X + -3X = 48 + 3X + -3X Combine like terms: -12X + -3X = -15X 108 + -15X = 48 + 3X + -3X Combine like terms: 3X + -3X = 0 108 + -15X = 48 + 0 108 + -15X = 48 Add '-108' to each side of the equation. 108 + -108 + -15X = 48 + -108 Combine like terms: 108 + -108 = 0 0 + -15X = 48 + -108 -15X = 48 + -108 Combine like terms: 48 + -108 = -60 -15X = -60 Divide each side by '-15'. X = 4 Simplifying X = 4
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