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Simplifying 5(x + y) + -3(x + -1y) = 0 (x * 5 + y * 5) + -3(x + -1y) = 0 (5x + 5y) + -3(x + -1y) = 0 5x + 5y + (x * -3 + -1y * -3) = 0 5x + 5y + (-3x + 3y) = 0 Reorder the terms: 5x + -3x + 5y + 3y = 0 Combine like terms: 5x + -3x = 2x 2x + 5y + 3y = 0 Combine like terms: 5y + 3y = 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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