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Simplifying 5(2x + 2y) + -1(5x + 3y) = 0 (2x * 5 + 2y * 5) + -1(5x + 3y) = 0 (10x + 10y) + -1(5x + 3y) = 0 10x + 10y + (5x * -1 + 3y * -1) = 0 10x + 10y + (-5x + -3y) = 0 Reorder the terms: 10x + -5x + 10y + -3y = 0 Combine like terms: 10x + -5x = 5x 5x + 10y + -3y = 0 Combine like terms: 10y + -3y = 7y 5x + 7y = 0 Solving 5x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 5x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 5x + 0 = 0 + -7y 5x = 0 + -7y Remove the zero: 5x = -7y Divide each side by '5'. x = -1.4y Simplifying x = -1.4y
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