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Simplifying (2x + 5y) + (5x + 10y) = 1014 Remove parenthesis around (2x + 5y) 2x + 5y + (5x + 10y) = 1014 Remove parenthesis around (5x + 10y) 2x + 5y + 5x + 10y = 1014 Reorder the terms: 2x + 5x + 5y + 10y = 1014 Combine like terms: 2x + 5x = 7x 7x + 5y + 10y = 1014 Combine like terms: 5y + 10y = 15y 7x + 15y = 1014 Solving 7x + 15y = 1014 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15y' to each side of the equation. 7x + 15y + -15y = 1014 + -15y Combine like terms: 15y + -15y = 0 7x + 0 = 1014 + -15y 7x = 1014 + -15y Divide each side by '7'. x = 144.8571429 + -2.142857143y Simplifying x = 144.8571429 + -2.142857143y
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