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Simplifying 9(4x + -5y) + -2(7x + -3y) = 0 (4x * 9 + -5y * 9) + -2(7x + -3y) = 0 (36x + -45y) + -2(7x + -3y) = 0 36x + -45y + (7x * -2 + -3y * -2) = 0 36x + -45y + (-14x + 6y) = 0 Reorder the terms: 36x + -14x + -45y + 6y = 0 Combine like terms: 36x + -14x = 22x 22x + -45y + 6y = 0 Combine like terms: -45y + 6y = -39y 22x + -39y = 0 Solving 22x + -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. 22x + -39y + 39y = 0 + 39y Combine like terms: -39y + 39y = 0 22x + 0 = 0 + 39y 22x = 0 + 39y Remove the zero: 22x = 39y Divide each side by '22'. x = 1.772727273y Simplifying x = 1.772727273y
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