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Simplifying (3x + 10y) + (7x + 10y) = 180 Remove parenthesis around (3x + 10y) 3x + 10y + (7x + 10y) = 180 Remove parenthesis around (7x + 10y) 3x + 10y + 7x + 10y = 180 Reorder the terms: 3x + 7x + 10y + 10y = 180 Combine like terms: 3x + 7x = 10x 10x + 10y + 10y = 180 Combine like terms: 10y + 10y = 20y 10x + 20y = 180 Solving 10x + 20y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20y' to each side of the equation. 10x + 20y + -20y = 180 + -20y Combine like terms: 20y + -20y = 0 10x + 0 = 180 + -20y 10x = 180 + -20y Divide each side by '10'. x = 18 + -2y Simplifying x = 18 + -2y
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