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Simplifying 2(y + 6) + 7(x + 8) = 0 Reorder the terms: 2(6 + y) + 7(x + 8) = 0 (6 * 2 + y * 2) + 7(x + 8) = 0 (12 + 2y) + 7(x + 8) = 0 Reorder the terms: 12 + 2y + 7(8 + x) = 0 12 + 2y + (8 * 7 + x * 7) = 0 12 + 2y + (56 + 7x) = 0 Reorder the terms: 12 + 56 + 7x + 2y = 0 Combine like terms: 12 + 56 = 68 68 + 7x + 2y = 0 Solving 68 + 7x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + 7x + -68 + 2y = 0 + -68 Reorder the terms: 68 + -68 + 7x + 2y = 0 + -68 Combine like terms: 68 + -68 = 0 0 + 7x + 2y = 0 + -68 7x + 2y = 0 + -68 Combine like terms: 0 + -68 = -68 7x + 2y = -68 Add '-2y' to each side of the equation. 7x + 2y + -2y = -68 + -2y Combine like terms: 2y + -2y = 0 7x + 0 = -68 + -2y 7x = -68 + -2y Divide each side by '7'. x = -9.714285714 + -0.2857142857y Simplifying x = -9.714285714 + -0.2857142857y
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