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Simplifying 4(3X + -2) = 3(X + 6) Reorder the terms: 4(-2 + 3X) = 3(X + 6) (-2 * 4 + 3X * 4) = 3(X + 6) (-8 + 12X) = 3(X + 6) Reorder the terms: -8 + 12X = 3(6 + X) -8 + 12X = (6 * 3 + X * 3) -8 + 12X = (18 + 3X) Solving -8 + 12X = 18 + 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. -8 + 12X + -3X = 18 + 3X + -3X Combine like terms: 12X + -3X = 9X -8 + 9X = 18 + 3X + -3X Combine like terms: 3X + -3X = 0 -8 + 9X = 18 + 0 -8 + 9X = 18 Add '8' to each side of the equation. -8 + 8 + 9X = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 9X = 18 + 8 9X = 18 + 8 Combine like terms: 18 + 8 = 26 9X = 26 Divide each side by '9'. X = 2.888888889 Simplifying X = 2.888888889
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