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Simplifying 5x + -1(X + -2) = 2x + -1(-1X + -5) Reorder the terms: 5x + -1(-2 + X) = 2x + -1(-1X + -5) 5x + (-2 * -1 + X * -1) = 2x + -1(-1X + -5) 5x + (2 + -1X) = 2x + -1(-1X + -5) Reorder the terms: 2 + -1X + 5x = 2x + -1(-1X + -5) Reorder the terms: 2 + -1X + 5x = 2x + -1(-5 + -1X) 2 + -1X + 5x = 2x + (-5 * -1 + -1X * -1) 2 + -1X + 5x = 2x + (5 + 1X) Reorder the terms: 2 + -1X + 5x = 5 + 1X + 2x Solving 2 + -1X + 5x = 5 + 1X + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. 2 + -1X + -1X + 5x = 5 + 1X + -1X + 2x Combine like terms: -1X + -1X = -2X 2 + -2X + 5x = 5 + 1X + -1X + 2x Combine like terms: 1X + -1X = 0 2 + -2X + 5x = 5 + 0 + 2x 2 + -2X + 5x = 5 + 2x Add '-2' to each side of the equation. 2 + -2X + -2 + 5x = 5 + -2 + 2x Reorder the terms: 2 + -2 + -2X + 5x = 5 + -2 + 2x Combine like terms: 2 + -2 = 0 0 + -2X + 5x = 5 + -2 + 2x -2X + 5x = 5 + -2 + 2x Combine like terms: 5 + -2 = 3 -2X + 5x = 3 + 2x Add '-5x' to each side of the equation. -2X + 5x + -5x = 3 + 2x + -5x Combine like terms: 5x + -5x = 0 -2X + 0 = 3 + 2x + -5x -2X = 3 + 2x + -5x Combine like terms: 2x + -5x = -3x -2X = 3 + -3x Divide each side by '-2'. X = -1.5 + 1.5x Simplifying X = -1.5 + 1.5x
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