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Simplifying 180 = (x + 82) + (x + 112) Reorder the terms: 180 = (82 + x) + (x + 112) Remove parenthesis around (82 + x) 180 = 82 + x + (x + 112) Reorder the terms: 180 = 82 + x + (112 + x) Remove parenthesis around (112 + x) 180 = 82 + x + 112 + x Reorder the terms: 180 = 82 + 112 + x + x Combine like terms: 82 + 112 = 194 180 = 194 + x + x Combine like terms: x + x = 2x 180 = 194 + 2x Solving 180 = 194 + 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 = 194 + 2x + -2x Combine like terms: 2x + -2x = 0 180 + -2x = 194 + 0 180 + -2x = 194 Add '-180' to each side of the equation. 180 + -180 + -2x = 194 + -180 Combine like terms: 180 + -180 = 0 0 + -2x = 194 + -180 -2x = 194 + -180 Combine like terms: 194 + -180 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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