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Simplifying 5x + -1(X + -2) = 2x + -1(3 + 1) Reorder the terms: 5x + -1(-2 + X) = 2x + -1(3 + 1) 5x + (-2 * -1 + X * -1) = 2x + -1(3 + 1) 5x + (2 + -1X) = 2x + -1(3 + 1) Reorder the terms: 2 + -1X + 5x = 2x + -1(3 + 1) Combine like terms: 3 + 1 = 4 2 + -1X + 5x = 2x + -1(4) Multiply -1 * 4 2 + -1X + 5x = 2x + -4 Reorder the terms: 2 + -1X + 5x = -4 + 2x Solving 2 + -1X + 5x = -4 + 2x 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 = -4 + -2 + 2x Reorder the terms: 2 + -2 + -1X + 5x = -4 + -2 + 2x Combine like terms: 2 + -2 = 0 0 + -1X + 5x = -4 + -2 + 2x -1X + 5x = -4 + -2 + 2x Combine like terms: -4 + -2 = -6 -1X + 5x = -6 + 2x Add '-5x' to each side of the equation. -1X + 5x + -5x = -6 + 2x + -5x Combine like terms: 5x + -5x = 0 -1X + 0 = -6 + 2x + -5x -1X = -6 + 2x + -5x Combine like terms: 2x + -5x = -3x -1X = -6 + -3x Divide each side by '-1'. X = 6 + 3x Simplifying X = 6 + 3x
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