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Simplifying 180 = (x + 23) + (x + 54) Reorder the terms: 180 = (23 + x) + (x + 54) Remove parenthesis around (23 + x) 180 = 23 + x + (x + 54) Reorder the terms: 180 = 23 + x + (54 + x) Remove parenthesis around (54 + x) 180 = 23 + x + 54 + x Reorder the terms: 180 = 23 + 54 + x + x Combine like terms: 23 + 54 = 77 180 = 77 + x + x Combine like terms: x + x = 2x 180 = 77 + 2x Solving 180 = 77 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 180 + -2x = 77 + 2x + -2x Combine like terms: 2x + -2x = 0 180 + -2x = 77 + 0 180 + -2x = 77 Add '-180' to each side of the equation. 180 + -180 + -2x = 77 + -180 Combine like terms: 180 + -180 = 0 0 + -2x = 77 + -180 -2x = 77 + -180 Combine like terms: 77 + -180 = -103 -2x = -103 Divide each side by '-2'. x = 51.5 Simplifying x = 51.5
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