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Simplifying (9y + -2x) + (6x + y) + (2x + -1y) = 180 Reorder the terms: (-2x + 9y) + (6x + y) + (2x + -1y) = 180 Remove parenthesis around (-2x + 9y) -2x + 9y + (6x + y) + (2x + -1y) = 180 Remove parenthesis around (6x + y) -2x + 9y + 6x + y + (2x + -1y) = 180 Remove parenthesis around (2x + -1y) -2x + 9y + 6x + y + 2x + -1y = 180 Reorder the terms: -2x + 6x + 2x + 9y + y + -1y = 180 Combine like terms: -2x + 6x = 4x 4x + 2x + 9y + y + -1y = 180 Combine like terms: 4x + 2x = 6x 6x + 9y + y + -1y = 180 Combine like terms: 9y + y = 10y 6x + 10y + -1y = 180 Combine like terms: 10y + -1y = 9y 6x + 9y = 180 Solving 6x + 9y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. 6x + 9y + -9y = 180 + -9y Combine like terms: 9y + -9y = 0 6x + 0 = 180 + -9y 6x = 180 + -9y Divide each side by '6'. x = 30 + -1.5y Simplifying x = 30 + -1.5y
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