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Simplifying (x + 40) + (3x + -17) + (2x + -5) = 180 Reorder the terms: (40 + x) + (3x + -17) + (2x + -5) = 180 Remove parenthesis around (40 + x) 40 + x + (3x + -17) + (2x + -5) = 180 Reorder the terms: 40 + x + (-17 + 3x) + (2x + -5) = 180 Remove parenthesis around (-17 + 3x) 40 + x + -17 + 3x + (2x + -5) = 180 Reorder the terms: 40 + x + -17 + 3x + (-5 + 2x) = 180 Remove parenthesis around (-5 + 2x) 40 + x + -17 + 3x + -5 + 2x = 180 Reorder the terms: 40 + -17 + -5 + x + 3x + 2x = 180 Combine like terms: 40 + -17 = 23 23 + -5 + x + 3x + 2x = 180 Combine like terms: 23 + -5 = 18 18 + x + 3x + 2x = 180 Combine like terms: x + 3x = 4x 18 + 4x + 2x = 180 Combine like terms: 4x + 2x = 6x 18 + 6x = 180 Solving 18 + 6x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 6x = 180 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 180 + -18 6x = 180 + -18 Combine like terms: 180 + -18 = 162 6x = 162 Divide each side by '6'. x = 27 Simplifying x = 27
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