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Simplifying (2x + 42) + (3x + 23) = 180 Reorder the terms: (42 + 2x) + (3x + 23) = 180 Remove parenthesis around (42 + 2x) 42 + 2x + (3x + 23) = 180 Reorder the terms: 42 + 2x + (23 + 3x) = 180 Remove parenthesis around (23 + 3x) 42 + 2x + 23 + 3x = 180 Reorder the terms: 42 + 23 + 2x + 3x = 180 Combine like terms: 42 + 23 = 65 65 + 2x + 3x = 180 Combine like terms: 2x + 3x = 5x 65 + 5x = 180 Solving 65 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + 5x = 180 + -65 Combine like terms: 65 + -65 = 0 0 + 5x = 180 + -65 5x = 180 + -65 Combine like terms: 180 + -65 = 115 5x = 115 Divide each side by '5'. x = 23 Simplifying x = 23
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