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Simplifying (6y + -5) + (10y + -41) + (12x + 22) = 180 Reorder the terms: (-5 + 6y) + (10y + -41) + (12x + 22) = 180 Remove parenthesis around (-5 + 6y) -5 + 6y + (10y + -41) + (12x + 22) = 180 Reorder the terms: -5 + 6y + (-41 + 10y) + (12x + 22) = 180 Remove parenthesis around (-41 + 10y) -5 + 6y + -41 + 10y + (12x + 22) = 180 Reorder the terms: -5 + 6y + -41 + 10y + (22 + 12x) = 180 Remove parenthesis around (22 + 12x) -5 + 6y + -41 + 10y + 22 + 12x = 180 Reorder the terms: -5 + -41 + 22 + 12x + 6y + 10y = 180 Combine like terms: -5 + -41 = -46 -46 + 22 + 12x + 6y + 10y = 180 Combine like terms: -46 + 22 = -24 -24 + 12x + 6y + 10y = 180 Combine like terms: 6y + 10y = 16y -24 + 12x + 16y = 180 Solving -24 + 12x + 16y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 12x + 24 + 16y = 180 + 24 Reorder the terms: -24 + 24 + 12x + 16y = 180 + 24 Combine like terms: -24 + 24 = 0 0 + 12x + 16y = 180 + 24 12x + 16y = 180 + 24 Combine like terms: 180 + 24 = 204 12x + 16y = 204 Add '-16y' to each side of the equation. 12x + 16y + -16y = 204 + -16y Combine like terms: 16y + -16y = 0 12x + 0 = 204 + -16y 12x = 204 + -16y Divide each side by '12'. x = 17 + -1.333333333y Simplifying x = 17 + -1.333333333y
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