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Simplifying 180 = (5x + -18) + (4x + 45) Reorder the terms: 180 = (-18 + 5x) + (4x + 45) Remove parenthesis around (-18 + 5x) 180 = -18 + 5x + (4x + 45) Reorder the terms: 180 = -18 + 5x + (45 + 4x) Remove parenthesis around (45 + 4x) 180 = -18 + 5x + 45 + 4x Reorder the terms: 180 = -18 + 45 + 5x + 4x Combine like terms: -18 + 45 = 27 180 = 27 + 5x + 4x Combine like terms: 5x + 4x = 9x 180 = 27 + 9x Solving 180 = 27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 180 + -9x = 27 + 9x + -9x Combine like terms: 9x + -9x = 0 180 + -9x = 27 + 0 180 + -9x = 27 Add '-180' to each side of the equation. 180 + -180 + -9x = 27 + -180 Combine like terms: 180 + -180 = 0 0 + -9x = 27 + -180 -9x = 27 + -180 Combine like terms: 27 + -180 = -153 -9x = -153 Divide each side by '-9'. x = 17 Simplifying x = 17
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