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Simplifying (10x + 6) + (4x + 2y) = 180 Reorder the terms: (6 + 10x) + (4x + 2y) = 180 Remove parenthesis around (6 + 10x) 6 + 10x + (4x + 2y) = 180 Remove parenthesis around (4x + 2y) 6 + 10x + 4x + 2y = 180 Combine like terms: 10x + 4x = 14x 6 + 14x + 2y = 180 Solving 6 + 14x + 2y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 14x + -6 + 2y = 180 + -6 Reorder the terms: 6 + -6 + 14x + 2y = 180 + -6 Combine like terms: 6 + -6 = 0 0 + 14x + 2y = 180 + -6 14x + 2y = 180 + -6 Combine like terms: 180 + -6 = 174 14x + 2y = 174 Add '-2y' to each side of the equation. 14x + 2y + -2y = 174 + -2y Combine like terms: 2y + -2y = 0 14x + 0 = 174 + -2y 14x = 174 + -2y Divide each side by '14'. x = 12.42857143 + -0.1428571429y Simplifying x = 12.42857143 + -0.1428571429y
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