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Simplifying 3x + 71 + 7x + 29 = 180 Reorder the terms: 71 + 29 + 3x + 7x = 180 Combine like terms: 71 + 29 = 100 100 + 3x + 7x = 180 Combine like terms: 3x + 7x = 10x 100 + 10x = 180 Solving 100 + 10x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 10x = 180 + -100 Combine like terms: 100 + -100 = 0 0 + 10x = 180 + -100 10x = 180 + -100 Combine like terms: 180 + -100 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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