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Simplifying 5(-2X + 1) = 9(X + 1) Reorder the terms: 5(1 + -2X) = 9(X + 1) (1 * 5 + -2X * 5) = 9(X + 1) (5 + -10X) = 9(X + 1) Reorder the terms: 5 + -10X = 9(1 + X) 5 + -10X = (1 * 9 + X * 9) 5 + -10X = (9 + 9X) Solving 5 + -10X = 9 + 9X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9X' to each side of the equation. 5 + -10X + -9X = 9 + 9X + -9X Combine like terms: -10X + -9X = -19X 5 + -19X = 9 + 9X + -9X Combine like terms: 9X + -9X = 0 5 + -19X = 9 + 0 5 + -19X = 9 Add '-5' to each side of the equation. 5 + -5 + -19X = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -19X = 9 + -5 -19X = 9 + -5 Combine like terms: 9 + -5 = 4 -19X = 4 Divide each side by '-19'. X = -0.2105263158 Simplifying X = -0.2105263158
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