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Simplifying 3(7x + 5) + 5(6y + 5) = -65 Reorder the terms: 3(5 + 7x) + 5(6y + 5) = -65 (5 * 3 + 7x * 3) + 5(6y + 5) = -65 (15 + 21x) + 5(6y + 5) = -65 Reorder the terms: 15 + 21x + 5(5 + 6y) = -65 15 + 21x + (5 * 5 + 6y * 5) = -65 15 + 21x + (25 + 30y) = -65 Reorder the terms: 15 + 25 + 21x + 30y = -65 Combine like terms: 15 + 25 = 40 40 + 21x + 30y = -65 Solving 40 + 21x + 30y = -65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 21x + -40 + 30y = -65 + -40 Reorder the terms: 40 + -40 + 21x + 30y = -65 + -40 Combine like terms: 40 + -40 = 0 0 + 21x + 30y = -65 + -40 21x + 30y = -65 + -40 Combine like terms: -65 + -40 = -105 21x + 30y = -105 Add '-30y' to each side of the equation. 21x + 30y + -30y = -105 + -30y Combine like terms: 30y + -30y = 0 21x + 0 = -105 + -30y 21x = -105 + -30y Divide each side by '21'. x = -5 + -1.428571429y Simplifying x = -5 + -1.428571429y
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