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Simplifying [9 + -5(x + -2y)] + 9(2x + y) = 0 [9 + (x * -5 + -2y * -5)] + 9(2x + y) = 0 [9 + (-5x + 10y)] + 9(2x + y) = 0 Remove brackets around [9 + -5x + 10y] 9 + -5x + 10y + 9(2x + y) = 0 9 + -5x + 10y + (2x * 9 + y * 9) = 0 9 + -5x + 10y + (18x + 9y) = 0 Reorder the terms: 9 + -5x + 18x + 10y + 9y = 0 Combine like terms: -5x + 18x = 13x 9 + 13x + 10y + 9y = 0 Combine like terms: 10y + 9y = 19y 9 + 13x + 19y = 0 Solving 9 + 13x + 19y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 13x + -9 + 19y = 0 + -9 Reorder the terms: 9 + -9 + 13x + 19y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 13x + 19y = 0 + -9 13x + 19y = 0 + -9 Combine like terms: 0 + -9 = -9 13x + 19y = -9 Add '-19y' to each side of the equation. 13x + 19y + -19y = -9 + -19y Combine like terms: 19y + -19y = 0 13x + 0 = -9 + -19y 13x = -9 + -19y Divide each side by '13'. x = -0.6923076923 + -1.461538462y Simplifying x = -0.6923076923 + -1.461538462y
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