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Simplifying 3(X + 9) + 2(2x + -3) = 16 Reorder the terms: 3(9 + X) + 2(2x + -3) = 16 (9 * 3 + X * 3) + 2(2x + -3) = 16 (27 + 3X) + 2(2x + -3) = 16 Reorder the terms: 27 + 3X + 2(-3 + 2x) = 16 27 + 3X + (-3 * 2 + 2x * 2) = 16 27 + 3X + (-6 + 4x) = 16 Reorder the terms: 27 + -6 + 3X + 4x = 16 Combine like terms: 27 + -6 = 21 21 + 3X + 4x = 16 Solving 21 + 3X + 4x = 16 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 3X + -21 + 4x = 16 + -21 Reorder the terms: 21 + -21 + 3X + 4x = 16 + -21 Combine like terms: 21 + -21 = 0 0 + 3X + 4x = 16 + -21 3X + 4x = 16 + -21 Combine like terms: 16 + -21 = -5 3X + 4x = -5 Add '-4x' to each side of the equation. 3X + 4x + -4x = -5 + -4x Combine like terms: 4x + -4x = 0 3X + 0 = -5 + -4x 3X = -5 + -4x Divide each side by '3'. X = -1.666666667 + -1.333333333x Simplifying X = -1.666666667 + -1.333333333x
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