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Simplifying (3x + 10) + (2x + -5) = 55 Reorder the terms: (10 + 3x) + (2x + -5) = 55 Remove parenthesis around (10 + 3x) 10 + 3x + (2x + -5) = 55 Reorder the terms: 10 + 3x + (-5 + 2x) = 55 Remove parenthesis around (-5 + 2x) 10 + 3x + -5 + 2x = 55 Reorder the terms: 10 + -5 + 3x + 2x = 55 Combine like terms: 10 + -5 = 5 5 + 3x + 2x = 55 Combine like terms: 3x + 2x = 5x 5 + 5x = 55 Solving 5 + 5x = 55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5x = 55 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 55 + -5 5x = 55 + -5 Combine like terms: 55 + -5 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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