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Simplifying (4x + -5) + (180 + -1(13x + -22)) = 180 Reorder the terms: (-5 + 4x) + (180 + -1(13x + -22)) = 180 Remove parenthesis around (-5 + 4x) -5 + 4x + (180 + -1(13x + -22)) = 180 Reorder the terms: -5 + 4x + (180 + -1(-22 + 13x)) = 180 -5 + 4x + (180 + (-22 * -1 + 13x * -1)) = 180 -5 + 4x + (180 + (22 + -13x)) = 180 Combine like terms: 180 + 22 = 202 -5 + 4x + (202 + -13x) = 180 Remove parenthesis around (202 + -13x) -5 + 4x + 202 + -13x = 180 Reorder the terms: -5 + 202 + 4x + -13x = 180 Combine like terms: -5 + 202 = 197 197 + 4x + -13x = 180 Combine like terms: 4x + -13x = -9x 197 + -9x = 180 Solving 197 + -9x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-197' to each side of the equation. 197 + -197 + -9x = 180 + -197 Combine like terms: 197 + -197 = 0 0 + -9x = 180 + -197 -9x = 180 + -197 Combine like terms: 180 + -197 = -17 -9x = -17 Divide each side by '-9'. x = 1.888888889 Simplifying x = 1.888888889
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