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Simplifying 2(3x + 2y) + 5(2x + -3y) = 0 (3x * 2 + 2y * 2) + 5(2x + -3y) = 0 (6x + 4y) + 5(2x + -3y) = 0 6x + 4y + (2x * 5 + -3y * 5) = 0 6x + 4y + (10x + -15y) = 0 Reorder the terms: 6x + 10x + 4y + -15y = 0 Combine like terms: 6x + 10x = 16x 16x + 4y + -15y = 0 Combine like terms: 4y + -15y = -11y 16x + -11y = 0 Solving 16x + -11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 16x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 16x + 0 = 0 + 11y 16x = 0 + 11y Remove the zero: 16x = 11y Divide each side by '16'. x = 0.6875y Simplifying x = 0.6875y
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