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Simplifying 2(2x + 5y) + 3(x + 3y) = 0 (2x * 2 + 5y * 2) + 3(x + 3y) = 0 (4x + 10y) + 3(x + 3y) = 0 4x + 10y + (x * 3 + 3y * 3) = 0 4x + 10y + (3x + 9y) = 0 Reorder the terms: 4x + 3x + 10y + 9y = 0 Combine like terms: 4x + 3x = 7x 7x + 10y + 9y = 0 Combine like terms: 10y + 9y = 19y 7x + 19y = 0 Solving 7x + 19y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19y' to each side of the equation. 7x + 19y + -19y = 0 + -19y Combine like terms: 19y + -19y = 0 7x + 0 = 0 + -19y 7x = 0 + -19y Remove the zero: 7x = -19y Divide each side by '7'. x = -2.714285714y Simplifying x = -2.714285714y
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