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Simplifying 180 = (2x + 10) + (65 + -1x) Reorder the terms: 180 = (10 + 2x) + (65 + -1x) Remove parenthesis around (10 + 2x) 180 = 10 + 2x + (65 + -1x) Remove parenthesis around (65 + -1x) 180 = 10 + 2x + 65 + -1x Reorder the terms: 180 = 10 + 65 + 2x + -1x Combine like terms: 10 + 65 = 75 180 = 75 + 2x + -1x Combine like terms: 2x + -1x = 1x 180 = 75 + 1x Solving 180 = 75 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 180 + -1x = 75 + 1x + -1x Combine like terms: 1x + -1x = 0 180 + -1x = 75 + 0 180 + -1x = 75 Add '-180' to each side of the equation. 180 + -180 + -1x = 75 + -180 Combine like terms: 180 + -180 = 0 0 + -1x = 75 + -180 -1x = 75 + -180 Combine like terms: 75 + -180 = -105 -1x = -105 Divide each side by '-1'. x = 105 Simplifying x = 105
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