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Simplifying 5(x + 7y) = 0 (x * 5 + 7y * 5) = 0 (5x + 35y) = 0 Solving 5x + 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. 5x + 35y + -35y = 0 + -35y Combine like terms: 35y + -35y = 0 5x + 0 = 0 + -35y 5x = 0 + -35y Remove the zero: 5x = -35y Divide each side by '5'. x = -7y Simplifying x = -7y
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