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Simplifying (3x + 34) + (5x + -15) + (x + -1) = 180 Reorder the terms: (34 + 3x) + (5x + -15) + (x + -1) = 180 Remove parenthesis around (34 + 3x) 34 + 3x + (5x + -15) + (x + -1) = 180 Reorder the terms: 34 + 3x + (-15 + 5x) + (x + -1) = 180 Remove parenthesis around (-15 + 5x) 34 + 3x + -15 + 5x + (x + -1) = 180 Reorder the terms: 34 + 3x + -15 + 5x + (-1 + x) = 180 Remove parenthesis around (-1 + x) 34 + 3x + -15 + 5x + -1 + x = 180 Reorder the terms: 34 + -15 + -1 + 3x + 5x + x = 180 Combine like terms: 34 + -15 = 19 19 + -1 + 3x + 5x + x = 180 Combine like terms: 19 + -1 = 18 18 + 3x + 5x + x = 180 Combine like terms: 3x + 5x = 8x 18 + 8x + x = 180 Combine like terms: 8x + x = 9x 18 + 9x = 180 Solving 18 + 9x = 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 + 9x = 180 + -18 Combine like terms: 18 + -18 = 0 0 + 9x = 180 + -18 9x = 180 + -18 Combine like terms: 180 + -18 = 162 9x = 162 Divide each side by '9'. x = 18 Simplifying x = 18
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