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Simplifying 7(10x + 5y) = 0 (10x * 7 + 5y * 7) = 0 (70x + 35y) = 0 Solving 70x + 35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35y' to each side of the equation. 70x + 35y + -35y = 0 + -35y Combine like terms: 35y + -35y = 0 70x + 0 = 0 + -35y 70x = 0 + -35y Remove the zero: 70x = -35y Divide each side by '70'. x = -0.5y Simplifying x = -0.5y
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