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Simplifying 6(9 + -1X) = 5(X + 2) (9 * 6 + -1X * 6) = 5(X + 2) (54 + -6X) = 5(X + 2) Reorder the terms: 54 + -6X = 5(2 + X) 54 + -6X = (2 * 5 + X * 5) 54 + -6X = (10 + 5X) Solving 54 + -6X = 10 + 5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5X' to each side of the equation. 54 + -6X + -5X = 10 + 5X + -5X Combine like terms: -6X + -5X = -11X 54 + -11X = 10 + 5X + -5X Combine like terms: 5X + -5X = 0 54 + -11X = 10 + 0 54 + -11X = 10 Add '-54' to each side of the equation. 54 + -54 + -11X = 10 + -54 Combine like terms: 54 + -54 = 0 0 + -11X = 10 + -54 -11X = 10 + -54 Combine like terms: 10 + -54 = -44 -11X = -44 Divide each side by '-11'. X = 4 Simplifying X = 4
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