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Simplifying 4(x + y) + -5x + -1y = 0 (x * 4 + y * 4) + -5x + -1y = 0 (4x + 4y) + -5x + -1y = 0 Reorder the terms: 4x + -5x + 4y + -1y = 0 Combine like terms: 4x + -5x = -1x -1x + 4y + -1y = 0 Combine like terms: 4y + -1y = 3y -1x + 3y = 0 Solving -1x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. -1x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 -1x + 0 = 0 + -3y -1x = 0 + -3y Remove the zero: -1x = -3y Divide each side by '-1'. x = 3y Simplifying x = 3y
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