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Simplifying 10x + 45 + 2x + 29 = 180 Reorder the terms: 45 + 29 + 10x + 2x = 180 Combine like terms: 45 + 29 = 74 74 + 10x + 2x = 180 Combine like terms: 10x + 2x = 12x 74 + 12x = 180 Solving 74 + 12x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + 12x = 180 + -74 Combine like terms: 74 + -74 = 0 0 + 12x = 180 + -74 12x = 180 + -74 Combine like terms: 180 + -74 = 106 12x = 106 Divide each side by '12'. x = 8.833333333 Simplifying x = 8.833333333
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