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Simplifying (4x + 5y) + (3x + 10y) = 12 Remove parenthesis around (4x + 5y) 4x + 5y + (3x + 10y) = 12 Remove parenthesis around (3x + 10y) 4x + 5y + 3x + 10y = 12 Reorder the terms: 4x + 3x + 5y + 10y = 12 Combine like terms: 4x + 3x = 7x 7x + 5y + 10y = 12 Combine like terms: 5y + 10y = 15y 7x + 15y = 12 Solving 7x + 15y = 12 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 = 12 + -15y Combine like terms: 15y + -15y = 0 7x + 0 = 12 + -15y 7x = 12 + -15y Divide each side by '7'. x = 1.714285714 + -2.142857143y Simplifying x = 1.714285714 + -2.142857143y
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