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Simplifying 4(X + -2) = X + 2(1 + -1X) Reorder the terms: 4(-2 + X) = X + 2(1 + -1X) (-2 * 4 + X * 4) = X + 2(1 + -1X) (-8 + 4X) = X + 2(1 + -1X) -8 + 4X = X + (1 * 2 + -1X * 2) -8 + 4X = X + (2 + -2X) Reorder the terms: -8 + 4X = 2 + X + -2X Combine like terms: X + -2X = -1X -8 + 4X = 2 + -1X Solving -8 + 4X = 2 + -1X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add 'X' to each side of the equation. -8 + 4X + X = 2 + -1X + X Combine like terms: 4X + X = 5X -8 + 5X = 2 + -1X + X Combine like terms: -1X + X = 0 -8 + 5X = 2 + 0 -8 + 5X = 2 Add '8' to each side of the equation. -8 + 8 + 5X = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 5X = 2 + 8 5X = 2 + 8 Combine like terms: 2 + 8 = 10 5X = 10 Divide each side by '5'. X = 2 Simplifying X = 2
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