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Simplifying 4(9x + -3y) + 9(8y + -1x) = 0 (9x * 4 + -3y * 4) + 9(8y + -1x) = 0 (36x + -12y) + 9(8y + -1x) = 0 Reorder the terms: 36x + -12y + 9(-1x + 8y) = 0 36x + -12y + (-1x * 9 + 8y * 9) = 0 36x + -12y + (-9x + 72y) = 0 Reorder the terms: 36x + -9x + -12y + 72y = 0 Combine like terms: 36x + -9x = 27x 27x + -12y + 72y = 0 Combine like terms: -12y + 72y = 60y 27x + 60y = 0 Solving 27x + 60y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60y' to each side of the equation. 27x + 60y + -60y = 0 + -60y Combine like terms: 60y + -60y = 0 27x + 0 = 0 + -60y 27x = 0 + -60y Remove the zero: 27x = -60y Divide each side by '27'. x = -2.222222222y Simplifying x = -2.222222222y
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