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Simplifying (2x + 3) + (3x + -17) + (3x + 34) = 180 Reorder the terms: (3 + 2x) + (3x + -17) + (3x + 34) = 180 Remove parenthesis around (3 + 2x) 3 + 2x + (3x + -17) + (3x + 34) = 180 Reorder the terms: 3 + 2x + (-17 + 3x) + (3x + 34) = 180 Remove parenthesis around (-17 + 3x) 3 + 2x + -17 + 3x + (3x + 34) = 180 Reorder the terms: 3 + 2x + -17 + 3x + (34 + 3x) = 180 Remove parenthesis around (34 + 3x) 3 + 2x + -17 + 3x + 34 + 3x = 180 Reorder the terms: 3 + -17 + 34 + 2x + 3x + 3x = 180 Combine like terms: 3 + -17 = -14 -14 + 34 + 2x + 3x + 3x = 180 Combine like terms: -14 + 34 = 20 20 + 2x + 3x + 3x = 180 Combine like terms: 2x + 3x = 5x 20 + 5x + 3x = 180 Combine like terms: 5x + 3x = 8x 20 + 8x = 180 Solving 20 + 8x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 8x = 180 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 180 + -20 8x = 180 + -20 Combine like terms: 180 + -20 = 160 8x = 160 Divide each side by '8'. x = 20 Simplifying x = 20
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