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Simplifying 5X + -1(X + -2) = 2X + -1(-6) Reorder the terms: 5X + -1(-2 + X) = 2X + -1(-6) 5X + (-2 * -1 + X * -1) = 2X + -1(-6) 5X + (2 + -1X) = 2X + -1(-6) Reorder the terms: 2 + 5X + -1X = 2X + -1(-6) Combine like terms: 5X + -1X = 4X 2 + 4X = 2X + -1(-6) Multiply -1 * -6 2 + 4X = 2X + 6 Reorder the terms: 2 + 4X = 6 + 2X Solving 2 + 4X = 6 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. 2 + 4X + -2X = 6 + 2X + -2X Combine like terms: 4X + -2X = 2X 2 + 2X = 6 + 2X + -2X Combine like terms: 2X + -2X = 0 2 + 2X = 6 + 0 2 + 2X = 6 Add '-2' to each side of the equation. 2 + -2 + 2X = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 2X = 6 + -2 2X = 6 + -2 Combine like terms: 6 + -2 = 4 2X = 4 Divide each side by '2'. X = 2 Simplifying X = 2
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