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Simplifying [9 + -3(x + -2y)] + 6(5x + y) = 0 [9 + (x * -3 + -2y * -3)] + 6(5x + y) = 0 [9 + (-3x + 6y)] + 6(5x + y) = 0 Remove brackets around [9 + -3x + 6y] 9 + -3x + 6y + 6(5x + y) = 0 9 + -3x + 6y + (5x * 6 + y * 6) = 0 9 + -3x + 6y + (30x + 6y) = 0 Reorder the terms: 9 + -3x + 30x + 6y + 6y = 0 Combine like terms: -3x + 30x = 27x 9 + 27x + 6y + 6y = 0 Combine like terms: 6y + 6y = 12y 9 + 27x + 12y = 0 Solving 9 + 27x + 12y = 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 + 27x + -9 + 12y = 0 + -9 Reorder the terms: 9 + -9 + 27x + 12y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 27x + 12y = 0 + -9 27x + 12y = 0 + -9 Combine like terms: 0 + -9 = -9 27x + 12y = -9 Add '-12y' to each side of the equation. 27x + 12y + -12y = -9 + -12y Combine like terms: 12y + -12y = 0 27x + 0 = -9 + -12y 27x = -9 + -12y Divide each side by '27'. x = -0.3333333333 + -0.4444444444y Simplifying x = -0.3333333333 + -0.4444444444y
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