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Simplifying (6x + 3y) + (10x + 6y) = 0 Remove parenthesis around (6x + 3y) 6x + 3y + (10x + 6y) = 0 Remove parenthesis around (10x + 6y) 6x + 3y + 10x + 6y = 0 Reorder the terms: 6x + 10x + 3y + 6y = 0 Combine like terms: 6x + 10x = 16x 16x + 3y + 6y = 0 Combine like terms: 3y + 6y = 9y 16x + 9y = 0 Solving 16x + 9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. 16x + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 16x + 0 = 0 + -9y 16x = 0 + -9y Remove the zero: 16x = -9y Divide each side by '16'. x = -0.5625y Simplifying x = -0.5625y
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