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Simplifying (x + 2y) + (4x + y) + 50 = 180 Remove parenthesis around (x + 2y) x + 2y + (4x + y) + 50 = 180 Remove parenthesis around (4x + y) x + 2y + 4x + y + 50 = 180 Reorder the terms: 50 + x + 4x + 2y + y = 180 Combine like terms: x + 4x = 5x 50 + 5x + 2y + y = 180 Combine like terms: 2y + y = 3y 50 + 5x + 3y = 180 Solving 50 + 5x + 3y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + 5x + -50 + 3y = 180 + -50 Reorder the terms: 50 + -50 + 5x + 3y = 180 + -50 Combine like terms: 50 + -50 = 0 0 + 5x + 3y = 180 + -50 5x + 3y = 180 + -50 Combine like terms: 180 + -50 = 130 5x + 3y = 130 Add '-3y' to each side of the equation. 5x + 3y + -3y = 130 + -3y Combine like terms: 3y + -3y = 0 5x + 0 = 130 + -3y 5x = 130 + -3y Divide each side by '5'. x = 26 + -0.6y Simplifying x = 26 + -0.6y
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