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Simplifying (8x + -5) + (22y) + (7x + 3) = 180 Reorder the terms: (-5 + 8x) + (22y) + (7x + 3) = 180 Remove parenthesis around (-5 + 8x) -5 + 8x + (22y) + (7x + 3) = 180 Reorder the terms: -5 + 8x + (22y) + (3 + 7x) = 180 Remove parenthesis around (3 + 7x) -5 + 8x + (22y) + 3 + 7x = 180 Reorder the terms: -5 + 3 + 8x + 7x + (22y) = 180 Combine like terms: -5 + 3 = -2 -2 + 8x + 7x + (22y) = 180 Combine like terms: 8x + 7x = 15x -2 + 15x + (22y) = 180 Solving -2 + 15x + (22y) = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 15x + 2 + (22y) = 180 + 2 Reorder the terms: -2 + 2 + 15x + (22y) = 180 + 2 Combine like terms: -2 + 2 = 0 0 + 15x + (22y) = 180 + 2 15x + (22y) = 180 + 2 Combine like terms: 180 + 2 = 182 15x + (22y) = 182 Add '(-22y)' to each side of the equation. 15x + (22y) + (-22y) = 182 + (-22y) Combine like terms: (22y) + (-22y) = 0 15x + 0 = 182 + (-22y) 15x = 182 + (-22y) Divide each side by '15'. x = 12.13333333 + (-1.466666667y) Simplifying x = 12.13333333 + (-1.466666667y)
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