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Simplifying (-2x + 6) + (5x + -2y) = 180 Reorder the terms: (6 + -2x) + (5x + -2y) = 180 Remove parenthesis around (6 + -2x) 6 + -2x + (5x + -2y) = 180 Remove parenthesis around (5x + -2y) 6 + -2x + 5x + -2y = 180 Combine like terms: -2x + 5x = 3x 6 + 3x + -2y = 180 Solving 6 + 3x + -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 + 3x + -6 + -2y = 180 + -6 Reorder the terms: 6 + -6 + 3x + -2y = 180 + -6 Combine like terms: 6 + -6 = 0 0 + 3x + -2y = 180 + -6 3x + -2y = 180 + -6 Combine like terms: 180 + -6 = 174 3x + -2y = 174 Add '2y' to each side of the equation. 3x + -2y + 2y = 174 + 2y Combine like terms: -2y + 2y = 0 3x + 0 = 174 + 2y 3x = 174 + 2y Divide each side by '3'. x = 58 + 0.6666666667y Simplifying x = 58 + 0.6666666667y
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