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Simplifying 8x + 3y + -2(3y + -5x) = 0 Reorder the terms: 8x + 3y + -2(-5x + 3y) = 0 8x + 3y + (-5x * -2 + 3y * -2) = 0 8x + 3y + (10x + -6y) = 0 Reorder the terms: 8x + 10x + 3y + -6y = 0 Combine like terms: 8x + 10x = 18x 18x + 3y + -6y = 0 Combine like terms: 3y + -6y = -3y 18x + -3y = 0 Solving 18x + -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. 18x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 18x + 0 = 0 + 3y 18x = 0 + 3y Remove the zero: 18x = 3y Divide each side by '18'. x = 0.1666666667y Simplifying x = 0.1666666667y
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