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Simplifying 3(x + y) + -5(x + -1y) = 0 (x * 3 + y * 3) + -5(x + -1y) = 0 (3x + 3y) + -5(x + -1y) = 0 3x + 3y + (x * -5 + -1y * -5) = 0 3x + 3y + (-5x + 5y) = 0 Reorder the terms: 3x + -5x + 3y + 5y = 0 Combine like terms: 3x + -5x = -2x -2x + 3y + 5y = 0 Combine like terms: 3y + 5y = 8y -2x + 8y = 0 Solving -2x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. -2x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 -2x + 0 = 0 + -8y -2x = 0 + -8y Remove the zero: -2x = -8y Divide each side by '-2'. x = 4y Simplifying x = 4y
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