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Simplifying 180 = (13x + -10) + (7x + -10) Reorder the terms: 180 = (-10 + 13x) + (7x + -10) Remove parenthesis around (-10 + 13x) 180 = -10 + 13x + (7x + -10) Reorder the terms: 180 = -10 + 13x + (-10 + 7x) Remove parenthesis around (-10 + 7x) 180 = -10 + 13x + -10 + 7x Reorder the terms: 180 = -10 + -10 + 13x + 7x Combine like terms: -10 + -10 = -20 180 = -20 + 13x + 7x Combine like terms: 13x + 7x = 20x 180 = -20 + 20x Solving 180 = -20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 180 + -20x = -20 + 20x + -20x Combine like terms: 20x + -20x = 0 180 + -20x = -20 + 0 180 + -20x = -20 Add '-180' to each side of the equation. 180 + -180 + -20x = -20 + -180 Combine like terms: 180 + -180 = 0 0 + -20x = -20 + -180 -20x = -20 + -180 Combine like terms: -20 + -180 = -200 -20x = -200 Divide each side by '-20'. x = 10 Simplifying x = 10
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