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Simplifying 7x + -6 + 2x + 14 + 5x + 10 = 180 Reorder the terms: -6 + 14 + 10 + 7x + 2x + 5x = 180 Combine like terms: -6 + 14 = 8 8 + 10 + 7x + 2x + 5x = 180 Combine like terms: 8 + 10 = 18 18 + 7x + 2x + 5x = 180 Combine like terms: 7x + 2x = 9x 18 + 9x + 5x = 180 Combine like terms: 9x + 5x = 14x 18 + 14x = 180 Solving 18 + 14x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 14x = 180 + -18 Combine like terms: 18 + -18 = 0 0 + 14x = 180 + -18 14x = 180 + -18 Combine like terms: 180 + -18 = 162 14x = 162 Divide each side by '14'. x = 11.57142857 Simplifying x = 11.57142857
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