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Simplifying 5x + 2 + 2x + -9 + 82 = 180 Reorder the terms: 2 + -9 + 82 + 5x + 2x = 180 Combine like terms: 2 + -9 = -7 -7 + 82 + 5x + 2x = 180 Combine like terms: -7 + 82 = 75 75 + 5x + 2x = 180 Combine like terms: 5x + 2x = 7x 75 + 7x = 180 Solving 75 + 7x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + 7x = 180 + -75 Combine like terms: 75 + -75 = 0 0 + 7x = 180 + -75 7x = 180 + -75 Combine like terms: 180 + -75 = 105 7x = 105 Divide each side by '7'. x = 15 Simplifying x = 15
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