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Simplifying (x + -35) + (x + 83) = 180 Reorder the terms: (-35 + x) + (x + 83) = 180 Remove parenthesis around (-35 + x) -35 + x + (x + 83) = 180 Reorder the terms: -35 + x + (83 + x) = 180 Remove parenthesis around (83 + x) -35 + x + 83 + x = 180 Reorder the terms: -35 + 83 + x + x = 180 Combine like terms: -35 + 83 = 48 48 + x + x = 180 Combine like terms: x + x = 2x 48 + 2x = 180 Solving 48 + 2x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 2x = 180 + -48 Combine like terms: 48 + -48 = 0 0 + 2x = 180 + -48 2x = 180 + -48 Combine like terms: 180 + -48 = 132 2x = 132 Divide each side by '2'. x = 66 Simplifying x = 66
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