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Simplifying x + (2x + 10) + (3x + 20) = 180 Reorder the terms: x + (10 + 2x) + (3x + 20) = 180 Remove parenthesis around (10 + 2x) x + 10 + 2x + (3x + 20) = 180 Reorder the terms: x + 10 + 2x + (20 + 3x) = 180 Remove parenthesis around (20 + 3x) x + 10 + 2x + 20 + 3x = 180 Reorder the terms: 10 + 20 + x + 2x + 3x = 180 Combine like terms: 10 + 20 = 30 30 + x + 2x + 3x = 180 Combine like terms: x + 2x = 3x 30 + 3x + 3x = 180 Combine like terms: 3x + 3x = 6x 30 + 6x = 180 Solving 30 + 6x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6x = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = 180 + -30 6x = 180 + -30 Combine like terms: 180 + -30 = 150 6x = 150 Divide each side by '6'. x = 25 Simplifying x = 25
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