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Simplifying 5x + -1(X + -2) = 2x + -1(5x + -1) Reorder the terms: 5x + -1(-2 + X) = 2x + -1(5x + -1) 5x + (-2 * -1 + X * -1) = 2x + -1(5x + -1) 5x + (2 + -1X) = 2x + -1(5x + -1) Reorder the terms: 2 + -1X + 5x = 2x + -1(5x + -1) Reorder the terms: 2 + -1X + 5x = 2x + -1(-1 + 5x) 2 + -1X + 5x = 2x + (-1 * -1 + 5x * -1) 2 + -1X + 5x = 2x + (1 + -5x) Reorder the terms: 2 + -1X + 5x = 1 + 2x + -5x Combine like terms: 2x + -5x = -3x 2 + -1X + 5x = 1 + -3x Solving 2 + -1X + 5x = 1 + -3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1X + -2 + 5x = 1 + -2 + -3x Reorder the terms: 2 + -2 + -1X + 5x = 1 + -2 + -3x Combine like terms: 2 + -2 = 0 0 + -1X + 5x = 1 + -2 + -3x -1X + 5x = 1 + -2 + -3x Combine like terms: 1 + -2 = -1 -1X + 5x = -1 + -3x Add '-5x' to each side of the equation. -1X + 5x + -5x = -1 + -3x + -5x Combine like terms: 5x + -5x = 0 -1X + 0 = -1 + -3x + -5x -1X = -1 + -3x + -5x Combine like terms: -3x + -5x = -8x -1X = -1 + -8x Divide each side by '-1'. X = 1 + 8x Simplifying X = 1 + 8x
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