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Simplifying (5x + -19) + (2x + 14) + (13x + -35) = 180 Reorder the terms: (-19 + 5x) + (2x + 14) + (13x + -35) = 180 Remove parenthesis around (-19 + 5x) -19 + 5x + (2x + 14) + (13x + -35) = 180 Reorder the terms: -19 + 5x + (14 + 2x) + (13x + -35) = 180 Remove parenthesis around (14 + 2x) -19 + 5x + 14 + 2x + (13x + -35) = 180 Reorder the terms: -19 + 5x + 14 + 2x + (-35 + 13x) = 180 Remove parenthesis around (-35 + 13x) -19 + 5x + 14 + 2x + -35 + 13x = 180 Reorder the terms: -19 + 14 + -35 + 5x + 2x + 13x = 180 Combine like terms: -19 + 14 = -5 -5 + -35 + 5x + 2x + 13x = 180 Combine like terms: -5 + -35 = -40 -40 + 5x + 2x + 13x = 180 Combine like terms: 5x + 2x = 7x -40 + 7x + 13x = 180 Combine like terms: 7x + 13x = 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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