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Simplifying [15 + -3(x + -2y)] + 6(5x + y) = 0 [15 + (x * -3 + -2y * -3)] + 6(5x + y) = 0 [15 + (-3x + 6y)] + 6(5x + y) = 0 Remove brackets around [15 + -3x + 6y] 15 + -3x + 6y + 6(5x + y) = 0 15 + -3x + 6y + (5x * 6 + y * 6) = 0 15 + -3x + 6y + (30x + 6y) = 0 Reorder the terms: 15 + -3x + 30x + 6y + 6y = 0 Combine like terms: -3x + 30x = 27x 15 + 27x + 6y + 6y = 0 Combine like terms: 6y + 6y = 12y 15 + 27x + 12y = 0 Solving 15 + 27x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 27x + -15 + 12y = 0 + -15 Reorder the terms: 15 + -15 + 27x + 12y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 27x + 12y = 0 + -15 27x + 12y = 0 + -15 Combine like terms: 0 + -15 = -15 27x + 12y = -15 Add '-12y' to each side of the equation. 27x + 12y + -12y = -15 + -12y Combine like terms: 12y + -12y = 0 27x + 0 = -15 + -12y 27x = -15 + -12y Divide each side by '27'. x = -0.5555555556 + -0.4444444444y Simplifying x = -0.5555555556 + -0.4444444444y
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