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Simplifying 2x + 9y + -6(7x + -5y) = 0 2x + 9y + (7x * -6 + -5y * -6) = 0 2x + 9y + (-42x + 30y) = 0 Reorder the terms: 2x + -42x + 9y + 30y = 0 Combine like terms: 2x + -42x = -40x -40x + 9y + 30y = 0 Combine like terms: 9y + 30y = 39y -40x + 39y = 0 Solving -40x + 39y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39y' to each side of the equation. -40x + 39y + -39y = 0 + -39y Combine like terms: 39y + -39y = 0 -40x + 0 = 0 + -39y -40x = 0 + -39y Remove the zero: -40x = -39y Divide each side by '-40'. x = 0.975y Simplifying x = 0.975y
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