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Simplifying 3(10x + 5y) + 5 = 65 (10x * 3 + 5y * 3) + 5 = 65 (30x + 15y) + 5 = 65 Reorder the terms: 5 + 30x + 15y = 65 Solving 5 + 30x + 15y = 65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 30x + -5 + 15y = 65 + -5 Reorder the terms: 5 + -5 + 30x + 15y = 65 + -5 Combine like terms: 5 + -5 = 0 0 + 30x + 15y = 65 + -5 30x + 15y = 65 + -5 Combine like terms: 65 + -5 = 60 30x + 15y = 60 Add '-15y' to each side of the equation. 30x + 15y + -15y = 60 + -15y Combine like terms: 15y + -15y = 0 30x + 0 = 60 + -15y 30x = 60 + -15y Divide each side by '30'. x = 2 + -0.5y Simplifying x = 2 + -0.5y
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