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Simplifying 2(4 + x + 6y) + 3(5 + 3x + y) = 0 (4 * 2 + x * 2 + 6y * 2) + 3(5 + 3x + y) = 0 (8 + 2x + 12y) + 3(5 + 3x + y) = 0 8 + 2x + 12y + (5 * 3 + 3x * 3 + y * 3) = 0 8 + 2x + 12y + (15 + 9x + 3y) = 0 Reorder the terms: 8 + 15 + 2x + 9x + 12y + 3y = 0 Combine like terms: 8 + 15 = 23 23 + 2x + 9x + 12y + 3y = 0 Combine like terms: 2x + 9x = 11x 23 + 11x + 12y + 3y = 0 Combine like terms: 12y + 3y = 15y 23 + 11x + 15y = 0 Solving 23 + 11x + 15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + 11x + -23 + 15y = 0 + -23 Reorder the terms: 23 + -23 + 11x + 15y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 11x + 15y = 0 + -23 11x + 15y = 0 + -23 Combine like terms: 0 + -23 = -23 11x + 15y = -23 Add '-15y' to each side of the equation. 11x + 15y + -15y = -23 + -15y Combine like terms: 15y + -15y = 0 11x + 0 = -23 + -15y 11x = -23 + -15y Divide each side by '11'. x = -2.090909091 + -1.363636364y Simplifying x = -2.090909091 + -1.363636364y
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