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Simplifying (3x) + (x + 20) + (2x + 10) = 90 Reorder the terms: (3x) + (20 + x) + (2x + 10) = 90 Remove parenthesis around (20 + x) (3x) + 20 + x + (2x + 10) = 90 Reorder the terms: (3x) + 20 + x + (10 + 2x) = 90 Remove parenthesis around (10 + 2x) (3x) + 20 + x + 10 + 2x = 90 Reorder the terms: 20 + 10 + (3x) + x + 2x = 90 Combine like terms: 20 + 10 = 30 30 + (3x) + x + 2x = 90 Combine like terms: (3x) + x = 4x 30 + 4x + 2x = 90 Combine like terms: 4x + 2x = 6x 30 + 6x = 90 Solving 30 + 6x = 90 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 = 90 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = 90 + -30 6x = 90 + -30 Combine like terms: 90 + -30 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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