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Simplifying (x + 30) + (5x + 10) + x = 180 Reorder the terms: (30 + x) + (5x + 10) + x = 180 Remove parenthesis around (30 + x) 30 + x + (5x + 10) + x = 180 Reorder the terms: 30 + x + (10 + 5x) + x = 180 Remove parenthesis around (10 + 5x) 30 + x + 10 + 5x + x = 180 Reorder the terms: 30 + 10 + x + 5x + x = 180 Combine like terms: 30 + 10 = 40 40 + x + 5x + x = 180 Combine like terms: x + 5x = 6x 40 + 6x + x = 180 Combine like terms: 6x + x = 7x 40 + 7x = 180 Solving 40 + 7x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 7x = 180 + -40 Combine like terms: 40 + -40 = 0 0 + 7x = 180 + -40 7x = 180 + -40 Combine like terms: 180 + -40 = 140 7x = 140 Divide each side by '7'. x = 20 Simplifying x = 20
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