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Simplifying 10 + 3(2 + x) + 12(x + y) = 0 10 + (2 * 3 + x * 3) + 12(x + y) = 0 10 + (6 + 3x) + 12(x + y) = 0 10 + 6 + 3x + (x * 12 + y * 12) = 0 10 + 6 + 3x + (12x + 12y) = 0 Combine like terms: 10 + 6 = 16 16 + 3x + 12x + 12y = 0 Combine like terms: 3x + 12x = 15x 16 + 15x + 12y = 0 Solving 16 + 15x + 12y = 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 + 15x + -16 + 12y = 0 + -16 Reorder the terms: 16 + -16 + 15x + 12y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 15x + 12y = 0 + -16 15x + 12y = 0 + -16 Combine like terms: 0 + -16 = -16 15x + 12y = -16 Add '-12y' to each side of the equation. 15x + 12y + -12y = -16 + -12y Combine like terms: 12y + -12y = 0 15x + 0 = -16 + -12y 15x = -16 + -12y Divide each side by '15'. x = -1.066666667 + -0.8y Simplifying x = -1.066666667 + -0.8y
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