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Simplifying (2x + 3) + (5y + 2) = 47 Reorder the terms: (3 + 2x) + (5y + 2) = 47 Remove parenthesis around (3 + 2x) 3 + 2x + (5y + 2) = 47 Reorder the terms: 3 + 2x + (2 + 5y) = 47 Remove parenthesis around (2 + 5y) 3 + 2x + 2 + 5y = 47 Reorder the terms: 3 + 2 + 2x + 5y = 47 Combine like terms: 3 + 2 = 5 5 + 2x + 5y = 47 Solving 5 + 2x + 5y = 47 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 + 2x + -5 + 5y = 47 + -5 Reorder the terms: 5 + -5 + 2x + 5y = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 2x + 5y = 47 + -5 2x + 5y = 47 + -5 Combine like terms: 47 + -5 = 42 2x + 5y = 42 Add '-5y' to each side of the equation. 2x + 5y + -5y = 42 + -5y Combine like terms: 5y + -5y = 0 2x + 0 = 42 + -5y 2x = 42 + -5y Divide each side by '2'. x = 21 + -2.5y Simplifying x = 21 + -2.5y
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