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Simplifying 2x + 14 + 3x + 6 + 4x + -2 = 180 Reorder the terms: 14 + 6 + -2 + 2x + 3x + 4x = 180 Combine like terms: 14 + 6 = 20 20 + -2 + 2x + 3x + 4x = 180 Combine like terms: 20 + -2 = 18 18 + 2x + 3x + 4x = 180 Combine like terms: 2x + 3x = 5x 18 + 5x + 4x = 180 Combine like terms: 5x + 4x = 9x 18 + 9x = 180 Solving 18 + 9x = 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 + 9x = 180 + -18 Combine like terms: 18 + -18 = 0 0 + 9x = 180 + -18 9x = 180 + -18 Combine like terms: 180 + -18 = 162 9x = 162 Divide each side by '9'. x = 18 Simplifying x = 18
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