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Simplifying 14(X + 2) = 12(X + 3) Reorder the terms: 14(2 + X) = 12(X + 3) (2 * 14 + X * 14) = 12(X + 3) (28 + 14X) = 12(X + 3) Reorder the terms: 28 + 14X = 12(3 + X) 28 + 14X = (3 * 12 + X * 12) 28 + 14X = (36 + 12X) Solving 28 + 14X = 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. 28 + 14X + -12X = 36 + 12X + -12X Combine like terms: 14X + -12X = 2X 28 + 2X = 36 + 12X + -12X Combine like terms: 12X + -12X = 0 28 + 2X = 36 + 0 28 + 2X = 36 Add '-28' to each side of the equation. 28 + -28 + 2X = 36 + -28 Combine like terms: 28 + -28 = 0 0 + 2X = 36 + -28 2X = 36 + -28 Combine like terms: 36 + -28 = 8 2X = 8 Divide each side by '2'. X = 4 Simplifying X = 4
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