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Simplifying 2x + 75 = x + 82 Reorder the terms: 75 + 2x = x + 82 Reorder the terms: 75 + 2x = 82 + x Solving 75 + 2x = 82 + x 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. 75 + 2x + -1x = 82 + x + -1x Combine like terms: 2x + -1x = 1x 75 + 1x = 82 + x + -1x Combine like terms: x + -1x = 0 75 + 1x = 82 + 0 75 + 1x = 82 Add '-75' to each side of the equation. 75 + -75 + 1x = 82 + -75 Combine like terms: 75 + -75 = 0 0 + 1x = 82 + -75 1x = 82 + -75 Combine like terms: 82 + -75 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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