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Simplifying 2x + y + 2x + 3y + -20 = 180 Reorder the terms: -20 + 2x + 2x + y + 3y = 180 Combine like terms: 2x + 2x = 4x -20 + 4x + y + 3y = 180 Combine like terms: y + 3y = 4y -20 + 4x + 4y = 180 Solving -20 + 4x + 4y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 4x + 20 + 4y = 180 + 20 Reorder the terms: -20 + 20 + 4x + 4y = 180 + 20 Combine like terms: -20 + 20 = 0 0 + 4x + 4y = 180 + 20 4x + 4y = 180 + 20 Combine like terms: 180 + 20 = 200 4x + 4y = 200 Add '-4y' to each side of the equation. 4x + 4y + -4y = 200 + -4y Combine like terms: 4y + -4y = 0 4x + 0 = 200 + -4y 4x = 200 + -4y Divide each side by '4'. x = 50 + -1y Simplifying x = 50 + -1y
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