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Simplifying [12 + -3(x + -2y)] + 7(6x + y) = 0 [12 + (x * -3 + -2y * -3)] + 7(6x + y) = 0 [12 + (-3x + 6y)] + 7(6x + y) = 0 Remove brackets around [12 + -3x + 6y] 12 + -3x + 6y + 7(6x + y) = 0 12 + -3x + 6y + (6x * 7 + y * 7) = 0 12 + -3x + 6y + (42x + 7y) = 0 Reorder the terms: 12 + -3x + 42x + 6y + 7y = 0 Combine like terms: -3x + 42x = 39x 12 + 39x + 6y + 7y = 0 Combine like terms: 6y + 7y = 13y 12 + 39x + 13y = 0 Solving 12 + 39x + 13y = 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 + 39x + -12 + 13y = 0 + -12 Reorder the terms: 12 + -12 + 39x + 13y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 39x + 13y = 0 + -12 39x + 13y = 0 + -12 Combine like terms: 0 + -12 = -12 39x + 13y = -12 Add '-13y' to each side of the equation. 39x + 13y + -13y = -12 + -13y Combine like terms: 13y + -13y = 0 39x + 0 = -12 + -13y 39x = -12 + -13y Divide each side by '39'. x = -0.3076923077 + -0.3333333333y Simplifying x = -0.3076923077 + -0.3333333333y
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