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Simplifying (2x + 17) + (4x + -5) + (2x + 6) = 180 Reorder the terms: (17 + 2x) + (4x + -5) + (2x + 6) = 180 Remove parenthesis around (17 + 2x) 17 + 2x + (4x + -5) + (2x + 6) = 180 Reorder the terms: 17 + 2x + (-5 + 4x) + (2x + 6) = 180 Remove parenthesis around (-5 + 4x) 17 + 2x + -5 + 4x + (2x + 6) = 180 Reorder the terms: 17 + 2x + -5 + 4x + (6 + 2x) = 180 Remove parenthesis around (6 + 2x) 17 + 2x + -5 + 4x + 6 + 2x = 180 Reorder the terms: 17 + -5 + 6 + 2x + 4x + 2x = 180 Combine like terms: 17 + -5 = 12 12 + 6 + 2x + 4x + 2x = 180 Combine like terms: 12 + 6 = 18 18 + 2x + 4x + 2x = 180 Combine like terms: 2x + 4x = 6x 18 + 6x + 2x = 180 Combine like terms: 6x + 2x = 8x 18 + 8x = 180 Solving 18 + 8x = 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 + 8x = 180 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 180 + -18 8x = 180 + -18 Combine like terms: 180 + -18 = 162 8x = 162 Divide each side by '8'. x = 20.25 Simplifying x = 20.25
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