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Simplifying [12 + -8(x + -6y)] + 9(7x + y) = 0 [12 + (x * -8 + -6y * -8)] + 9(7x + y) = 0 [12 + (-8x + 48y)] + 9(7x + y) = 0 Remove brackets around [12 + -8x + 48y] 12 + -8x + 48y + 9(7x + y) = 0 12 + -8x + 48y + (7x * 9 + y * 9) = 0 12 + -8x + 48y + (63x + 9y) = 0 Reorder the terms: 12 + -8x + 63x + 48y + 9y = 0 Combine like terms: -8x + 63x = 55x 12 + 55x + 48y + 9y = 0 Combine like terms: 48y + 9y = 57y 12 + 55x + 57y = 0 Solving 12 + 55x + 57y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 55x + -12 + 57y = 0 + -12 Reorder the terms: 12 + -12 + 55x + 57y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 55x + 57y = 0 + -12 55x + 57y = 0 + -12 Combine like terms: 0 + -12 = -12 55x + 57y = -12 Add '-57y' to each side of the equation. 55x + 57y + -57y = -12 + -57y Combine like terms: 57y + -57y = 0 55x + 0 = -12 + -57y 55x = -12 + -57y Divide each side by '55'. x = -0.2181818182 + -1.036363636y Simplifying x = -0.2181818182 + -1.036363636y
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