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Simplifying 10 + 3(2 + y) + 12(x + y) = 0 10 + (2 * 3 + y * 3) + 12(x + y) = 0 10 + (6 + 3y) + 12(x + y) = 0 10 + 6 + 3y + (x * 12 + y * 12) = 0 10 + 6 + 3y + (12x + 12y) = 0 Reorder the terms: 10 + 6 + 12x + 3y + 12y = 0 Combine like terms: 10 + 6 = 16 16 + 12x + 3y + 12y = 0 Combine like terms: 3y + 12y = 15y 16 + 12x + 15y = 0 Solving 16 + 12x + 15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 12x + -16 + 15y = 0 + -16 Reorder the terms: 16 + -16 + 12x + 15y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 12x + 15y = 0 + -16 12x + 15y = 0 + -16 Combine like terms: 0 + -16 = -16 12x + 15y = -16 Add '-15y' to each side of the equation. 12x + 15y + -15y = -16 + -15y Combine like terms: 15y + -15y = 0 12x + 0 = -16 + -15y 12x = -16 + -15y Divide each side by '12'. x = -1.333333333 + -1.25y Simplifying x = -1.333333333 + -1.25y
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