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Simplifying (4x + 6y) + (2x + y) + (2x + 3y) = 180 Remove parenthesis around (4x + 6y) 4x + 6y + (2x + y) + (2x + 3y) = 180 Remove parenthesis around (2x + y) 4x + 6y + 2x + y + (2x + 3y) = 180 Remove parenthesis around (2x + 3y) 4x + 6y + 2x + y + 2x + 3y = 180 Reorder the terms: 4x + 2x + 2x + 6y + y + 3y = 180 Combine like terms: 4x + 2x = 6x 6x + 2x + 6y + y + 3y = 180 Combine like terms: 6x + 2x = 8x 8x + 6y + y + 3y = 180 Combine like terms: 6y + y = 7y 8x + 7y + 3y = 180 Combine like terms: 7y + 3y = 10y 8x + 10y = 180 Solving 8x + 10y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 8x + 10y + -10y = 180 + -10y Combine like terms: 10y + -10y = 0 8x + 0 = 180 + -10y 8x = 180 + -10y Divide each side by '8'. x = 22.5 + -1.25y Simplifying x = 22.5 + -1.25y
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