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Simplifying (3x + 10) + (11x + 2y) = 180 Reorder the terms: (10 + 3x) + (11x + 2y) = 180 Remove parenthesis around (10 + 3x) 10 + 3x + (11x + 2y) = 180 Remove parenthesis around (11x + 2y) 10 + 3x + 11x + 2y = 180 Combine like terms: 3x + 11x = 14x 10 + 14x + 2y = 180 Solving 10 + 14x + 2y = 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 + 2y = 180 + -10 Reorder the terms: 10 + -10 + 14x + 2y = 180 + -10 Combine like terms: 10 + -10 = 0 0 + 14x + 2y = 180 + -10 14x + 2y = 180 + -10 Combine like terms: 180 + -10 = 170 14x + 2y = 170 Add '-2y' to each side of the equation. 14x + 2y + -2y = 170 + -2y Combine like terms: 2y + -2y = 0 14x + 0 = 170 + -2y 14x = 170 + -2y Divide each side by '14'. x = 12.14285714 + -0.1428571429y Simplifying x = 12.14285714 + -0.1428571429y
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