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Simplifying (2y + 30) + (2x + y) = 180 Reorder the terms: (30 + 2y) + (2x + y) = 180 Remove parenthesis around (30 + 2y) 30 + 2y + (2x + y) = 180 Remove parenthesis around (2x + y) 30 + 2y + 2x + y = 180 Reorder the terms: 30 + 2x + 2y + y = 180 Combine like terms: 2y + y = 3y 30 + 2x + 3y = 180 Solving 30 + 2x + 3y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 2x + -30 + 3y = 180 + -30 Reorder the terms: 30 + -30 + 2x + 3y = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 2x + 3y = 180 + -30 2x + 3y = 180 + -30 Combine like terms: 180 + -30 = 150 2x + 3y = 150 Add '-3y' to each side of the equation. 2x + 3y + -3y = 150 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 150 + -3y 2x = 150 + -3y Divide each side by '2'. x = 75 + -1.5y Simplifying x = 75 + -1.5y
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