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Simplifying 2(5 + -1X) + 3(X + -2Y) = 0 (5 * 2 + -1X * 2) + 3(X + -2Y) = 0 (10 + -2X) + 3(X + -2Y) = 0 10 + -2X + (X * 3 + -2Y * 3) = 0 10 + -2X + (3X + -6Y) = 0 Combine like terms: -2X + 3X = 1X 10 + 1X + -6Y = 0 Solving 10 + 1X + -6Y = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 1X + -10 + -6Y = 0 + -10 Reorder the terms: 10 + -10 + 1X + -6Y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1X + -6Y = 0 + -10 1X + -6Y = 0 + -10 Combine like terms: 0 + -10 = -10 1X + -6Y = -10 Add '6Y' to each side of the equation. 1X + -6Y + 6Y = -10 + 6Y Combine like terms: -6Y + 6Y = 0 1X + 0 = -10 + 6Y 1X = -10 + 6Y Divide each side by '1'. X = -10 + 6Y Simplifying X = -10 + 6Y
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