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Simplifying 4(x + y) + -1(2x + -1y) = 0 (x * 4 + y * 4) + -1(2x + -1y) = 0 (4x + 4y) + -1(2x + -1y) = 0 4x + 4y + (2x * -1 + -1y * -1) = 0 4x + 4y + (-2x + 1y) = 0 Reorder the terms: 4x + -2x + 4y + 1y = 0 Combine like terms: 4x + -2x = 2x 2x + 4y + 1y = 0 Combine like terms: 4y + 1y = 5y 2x + 5y = 0 Solving 2x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 2x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 2x + 0 = 0 + -5y 2x = 0 + -5y Remove the zero: 2x = -5y Divide each side by '2'. x = -2.5y Simplifying x = -2.5y
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