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Simplifying (3x + y) + (x + y) = 47 Remove parenthesis around (3x + y) 3x + y + (x + y) = 47 Remove parenthesis around (x + y) 3x + y + x + y = 47 Reorder the terms: 3x + x + y + y = 47 Combine like terms: 3x + x = 4x 4x + y + y = 47 Combine like terms: y + y = 2y 4x + 2y = 47 Solving 4x + 2y = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 4x + 2y + -2y = 47 + -2y Combine like terms: 2y + -2y = 0 4x + 0 = 47 + -2y 4x = 47 + -2y Divide each side by '4'. x = 11.75 + -0.5y Simplifying x = 11.75 + -0.5y
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