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Simplifying (x + 20) + (x + 10) + y + (y + -40) = 180 Reorder the terms: (20 + x) + (x + 10) + y + (y + -40) = 180 Remove parenthesis around (20 + x) 20 + x + (x + 10) + y + (y + -40) = 180 Reorder the terms: 20 + x + (10 + x) + y + (y + -40) = 180 Remove parenthesis around (10 + x) 20 + x + 10 + x + y + (y + -40) = 180 Reorder the terms: 20 + x + 10 + x + y + (-40 + y) = 180 Remove parenthesis around (-40 + y) 20 + x + 10 + x + y + -40 + y = 180 Reorder the terms: 20 + 10 + -40 + x + x + y + y = 180 Combine like terms: 20 + 10 = 30 30 + -40 + x + x + y + y = 180 Combine like terms: 30 + -40 = -10 -10 + x + x + y + y = 180 Combine like terms: x + x = 2x -10 + 2x + y + y = 180 Combine like terms: y + y = 2y -10 + 2x + 2y = 180 Solving -10 + 2x + 2y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 2x + 10 + 2y = 180 + 10 Reorder the terms: -10 + 10 + 2x + 2y = 180 + 10 Combine like terms: -10 + 10 = 0 0 + 2x + 2y = 180 + 10 2x + 2y = 180 + 10 Combine like terms: 180 + 10 = 190 2x + 2y = 190 Add '-2y' to each side of the equation. 2x + 2y + -2y = 190 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 190 + -2y 2x = 190 + -2y Divide each side by '2'. x = 95 + -1y Simplifying x = 95 + -1y
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