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Simplifying 4(2y + 7) + 6(9 + 5x) = 0 Reorder the terms: 4(7 + 2y) + 6(9 + 5x) = 0 (7 * 4 + 2y * 4) + 6(9 + 5x) = 0 (28 + 8y) + 6(9 + 5x) = 0 28 + 8y + (9 * 6 + 5x * 6) = 0 28 + 8y + (54 + 30x) = 0 Reorder the terms: 28 + 54 + 30x + 8y = 0 Combine like terms: 28 + 54 = 82 82 + 30x + 8y = 0 Solving 82 + 30x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + 30x + -82 + 8y = 0 + -82 Reorder the terms: 82 + -82 + 30x + 8y = 0 + -82 Combine like terms: 82 + -82 = 0 0 + 30x + 8y = 0 + -82 30x + 8y = 0 + -82 Combine like terms: 0 + -82 = -82 30x + 8y = -82 Add '-8y' to each side of the equation. 30x + 8y + -8y = -82 + -8y Combine like terms: 8y + -8y = 0 30x + 0 = -82 + -8y 30x = -82 + -8y Divide each side by '30'. x = -2.733333333 + -0.2666666667y Simplifying x = -2.733333333 + -0.2666666667y
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