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Simplifying 5x + 3(x + -1y) = 0 5x + (x * 3 + -1y * 3) = 0 5x + (3x + -3y) = 0 Combine like terms: 5x + 3x = 8x 8x + -3y = 0 Solving 8x + -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. 8x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 8x + 0 = 0 + 3y 8x = 0 + 3y Remove the zero: 8x = 3y Divide each side by '8'. x = 0.375y Simplifying x = 0.375y
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