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Simplifying (6y + 41) + (12y + 11) + (9x + 1) = 180 Reorder the terms: (41 + 6y) + (12y + 11) + (9x + 1) = 180 Remove parenthesis around (41 + 6y) 41 + 6y + (12y + 11) + (9x + 1) = 180 Reorder the terms: 41 + 6y + (11 + 12y) + (9x + 1) = 180 Remove parenthesis around (11 + 12y) 41 + 6y + 11 + 12y + (9x + 1) = 180 Reorder the terms: 41 + 6y + 11 + 12y + (1 + 9x) = 180 Remove parenthesis around (1 + 9x) 41 + 6y + 11 + 12y + 1 + 9x = 180 Reorder the terms: 41 + 11 + 1 + 9x + 6y + 12y = 180 Combine like terms: 41 + 11 = 52 52 + 1 + 9x + 6y + 12y = 180 Combine like terms: 52 + 1 = 53 53 + 9x + 6y + 12y = 180 Combine like terms: 6y + 12y = 18y 53 + 9x + 18y = 180 Solving 53 + 9x + 18y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + 9x + -53 + 18y = 180 + -53 Reorder the terms: 53 + -53 + 9x + 18y = 180 + -53 Combine like terms: 53 + -53 = 0 0 + 9x + 18y = 180 + -53 9x + 18y = 180 + -53 Combine like terms: 180 + -53 = 127 9x + 18y = 127 Add '-18y' to each side of the equation. 9x + 18y + -18y = 127 + -18y Combine like terms: 18y + -18y = 0 9x + 0 = 127 + -18y 9x = 127 + -18y Divide each side by '9'. x = 14.11111111 + -2y Simplifying x = 14.11111111 + -2y
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