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Simplifying 5(3x + -2y) = 0 (3x * 5 + -2y * 5) = 0 (15x + -10y) = 0 Solving 15x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 15x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 15x + 0 = 0 + 10y 15x = 0 + 10y Remove the zero: 15x = 10y Divide each side by '15'. x = 0.6666666667y Simplifying x = 0.6666666667y
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