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Simplifying (7x + 1) + (7x + -9) + (10y + -2) = 180 Reorder the terms: (1 + 7x) + (7x + -9) + (10y + -2) = 180 Remove parenthesis around (1 + 7x) 1 + 7x + (7x + -9) + (10y + -2) = 180 Reorder the terms: 1 + 7x + (-9 + 7x) + (10y + -2) = 180 Remove parenthesis around (-9 + 7x) 1 + 7x + -9 + 7x + (10y + -2) = 180 Reorder the terms: 1 + 7x + -9 + 7x + (-2 + 10y) = 180 Remove parenthesis around (-2 + 10y) 1 + 7x + -9 + 7x + -2 + 10y = 180 Reorder the terms: 1 + -9 + -2 + 7x + 7x + 10y = 180 Combine like terms: 1 + -9 = -8 -8 + -2 + 7x + 7x + 10y = 180 Combine like terms: -8 + -2 = -10 -10 + 7x + 7x + 10y = 180 Combine like terms: 7x + 7x = 14x -10 + 14x + 10y = 180 Solving -10 + 14x + 10y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 14x + 10 + 10y = 180 + 10 Reorder the terms: -10 + 10 + 14x + 10y = 180 + 10 Combine like terms: -10 + 10 = 0 0 + 14x + 10y = 180 + 10 14x + 10y = 180 + 10 Combine like terms: 180 + 10 = 190 14x + 10y = 190 Add '-10y' to each side of the equation. 14x + 10y + -10y = 190 + -10y Combine like terms: 10y + -10y = 0 14x + 0 = 190 + -10y 14x = 190 + -10y Divide each side by '14'. x = 13.57142857 + -0.7142857143y Simplifying x = 13.57142857 + -0.7142857143y
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