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Simplifying (2y + 1) + (71 + -3y) + (3x + 4y) = 180 Reorder the terms: (1 + 2y) + (71 + -3y) + (3x + 4y) = 180 Remove parenthesis around (1 + 2y) 1 + 2y + (71 + -3y) + (3x + 4y) = 180 Remove parenthesis around (71 + -3y) 1 + 2y + 71 + -3y + (3x + 4y) = 180 Remove parenthesis around (3x + 4y) 1 + 2y + 71 + -3y + 3x + 4y = 180 Reorder the terms: 1 + 71 + 3x + 2y + -3y + 4y = 180 Combine like terms: 1 + 71 = 72 72 + 3x + 2y + -3y + 4y = 180 Combine like terms: 2y + -3y = -1y 72 + 3x + -1y + 4y = 180 Combine like terms: -1y + 4y = 3y 72 + 3x + 3y = 180 Solving 72 + 3x + 3y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + 3x + -72 + 3y = 180 + -72 Reorder the terms: 72 + -72 + 3x + 3y = 180 + -72 Combine like terms: 72 + -72 = 0 0 + 3x + 3y = 180 + -72 3x + 3y = 180 + -72 Combine like terms: 180 + -72 = 108 3x + 3y = 108 Add '-3y' to each side of the equation. 3x + 3y + -3y = 108 + -3y Combine like terms: 3y + -3y = 0 3x + 0 = 108 + -3y 3x = 108 + -3y Divide each side by '3'. x = 36 + -1y Simplifying x = 36 + -1y
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