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Simplifying ((13x + -35) + (5x + -19) + (2x + 14)) = 180 Reorder the terms: ((-35 + 13x) + (5x + -19) + (2x + 14)) = 180 Remove parenthesis around (-35 + 13x) (-35 + 13x + (5x + -19) + (2x + 14)) = 180 Reorder the terms: (-35 + 13x + (-19 + 5x) + (2x + 14)) = 180 Remove parenthesis around (-19 + 5x) (-35 + 13x + -19 + 5x + (2x + 14)) = 180 Reorder the terms: (-35 + 13x + -19 + 5x + (14 + 2x)) = 180 Remove parenthesis around (14 + 2x) (-35 + 13x + -19 + 5x + 14 + 2x) = 180 Reorder the terms: (-35 + -19 + 14 + 13x + 5x + 2x) = 180 Combine like terms: -35 + -19 = -54 (-54 + 14 + 13x + 5x + 2x) = 180 Combine like terms: -54 + 14 = -40 (-40 + 13x + 5x + 2x) = 180 Combine like terms: 13x + 5x = 18x (-40 + 18x + 2x) = 180 Combine like terms: 18x + 2x = 20x (-40 + 20x) = 180 Remove parenthesis around (-40 + 20x) -40 + 20x = 180 Solving -40 + 20x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 20x = 180 + 40 Combine like terms: -40 + 40 = 0 0 + 20x = 180 + 40 20x = 180 + 40 Combine like terms: 180 + 40 = 220 20x = 220 Divide each side by '20'. x = 11 Simplifying x = 11
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