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Simplifying 5x + 2y + x + y + 6 = 180 Reorder the terms: 6 + 5x + x + 2y + y = 180 Combine like terms: 5x + x = 6x 6 + 6x + 2y + y = 180 Combine like terms: 2y + y = 3y 6 + 6x + 3y = 180 Solving 6 + 6x + 3y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 6x + -6 + 3y = 180 + -6 Reorder the terms: 6 + -6 + 6x + 3y = 180 + -6 Combine like terms: 6 + -6 = 0 0 + 6x + 3y = 180 + -6 6x + 3y = 180 + -6 Combine like terms: 180 + -6 = 174 6x + 3y = 174 Add '-3y' to each side of the equation. 6x + 3y + -3y = 174 + -3y Combine like terms: 3y + -3y = 0 6x + 0 = 174 + -3y 6x = 174 + -3y Divide each side by '6'. x = 29 + -0.5y Simplifying x = 29 + -0.5y
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