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Simplifying 180 = (13x + -45) + (2x + 45) Reorder the terms: 180 = (-45 + 13x) + (2x + 45) Remove parenthesis around (-45 + 13x) 180 = -45 + 13x + (2x + 45) Reorder the terms: 180 = -45 + 13x + (45 + 2x) Remove parenthesis around (45 + 2x) 180 = -45 + 13x + 45 + 2x Reorder the terms: 180 = -45 + 45 + 13x + 2x Combine like terms: -45 + 45 = 0 180 = 0 + 13x + 2x 180 = 13x + 2x Combine like terms: 13x + 2x = 15x 180 = 15x Solving 180 = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 180 + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 180 + -15x = 0 Add '-180' to each side of the equation. 180 + -180 + -15x = 0 + -180 Combine like terms: 180 + -180 = 0 0 + -15x = 0 + -180 -15x = 0 + -180 Combine like terms: 0 + -180 = -180 -15x = -180 Divide each side by '-15'. x = 12 Simplifying x = 12
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