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Simplifying y(x + -6) + -1x(y + -9) = 54 Reorder the terms: y(-6 + x) + -1x(y + -9) = 54 (-6 * y + x * y) + -1x(y + -9) = 54 Reorder the terms: (xy + -6y) + -1x(y + -9) = 54 (xy + -6y) + -1x(y + -9) = 54 Reorder the terms: xy + -6y + -1x(-9 + y) = 54 xy + -6y + (-9 * -1x + y * -1x) = 54 xy + -6y + (9x + -1xy) = 54 Reorder the terms: 9x + xy + -1xy + -6y = 54 Combine like terms: xy + -1xy = 0 9x + 0 + -6y = 54 9x + -6y = 54 Solving 9x + -6y = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 9x + -6y + 6y = 54 + 6y Combine like terms: -6y + 6y = 0 9x + 0 = 54 + 6y 9x = 54 + 6y Divide each side by '9'. x = 6 + 0.6666666667y Simplifying x = 6 + 0.6666666667y
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