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Simplifying 5x + 10 + 7x + 2 + x + 12 = 180 Reorder the terms: 10 + 2 + 12 + 5x + 7x + x = 180 Combine like terms: 10 + 2 = 12 12 + 12 + 5x + 7x + x = 180 Combine like terms: 12 + 12 = 24 24 + 5x + 7x + x = 180 Combine like terms: 5x + 7x = 12x 24 + 12x + x = 180 Combine like terms: 12x + x = 13x 24 + 13x = 180 Solving 24 + 13x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 13x = 180 + -24 Combine like terms: 24 + -24 = 0 0 + 13x = 180 + -24 13x = 180 + -24 Combine like terms: 180 + -24 = 156 13x = 156 Divide each side by '13'. x = 12 Simplifying x = 12
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