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Simplifying 14 + 2(3X + -4) = 3(X + 4) Reorder the terms: 14 + 2(-4 + 3X) = 3(X + 4) 14 + (-4 * 2 + 3X * 2) = 3(X + 4) 14 + (-8 + 6X) = 3(X + 4) Combine like terms: 14 + -8 = 6 6 + 6X = 3(X + 4) Reorder the terms: 6 + 6X = 3(4 + X) 6 + 6X = (4 * 3 + X * 3) 6 + 6X = (12 + 3X) Solving 6 + 6X = 12 + 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. 6 + 6X + -3X = 12 + 3X + -3X Combine like terms: 6X + -3X = 3X 6 + 3X = 12 + 3X + -3X Combine like terms: 3X + -3X = 0 6 + 3X = 12 + 0 6 + 3X = 12 Add '-6' to each side of the equation. 6 + -6 + 3X = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 3X = 12 + -6 3X = 12 + -6 Combine like terms: 12 + -6 = 6 3X = 6 Divide each side by '3'. X = 2 Simplifying X = 2
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