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Simplifying (3x + 1) + (2x + -1) + (x + 4) = 180 Reorder the terms: (1 + 3x) + (2x + -1) + (x + 4) = 180 Remove parenthesis around (1 + 3x) 1 + 3x + (2x + -1) + (x + 4) = 180 Reorder the terms: 1 + 3x + (-1 + 2x) + (x + 4) = 180 Remove parenthesis around (-1 + 2x) 1 + 3x + -1 + 2x + (x + 4) = 180 Reorder the terms: 1 + 3x + -1 + 2x + (4 + x) = 180 Remove parenthesis around (4 + x) 1 + 3x + -1 + 2x + 4 + x = 180 Reorder the terms: 1 + -1 + 4 + 3x + 2x + x = 180 Combine like terms: 1 + -1 = 0 0 + 4 + 3x + 2x + x = 180 4 + 3x + 2x + x = 180 Combine like terms: 3x + 2x = 5x 4 + 5x + x = 180 Combine like terms: 5x + x = 6x 4 + 6x = 180 Solving 4 + 6x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6x = 180 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 180 + -4 6x = 180 + -4 Combine like terms: 180 + -4 = 176 6x = 176 Divide each side by '6'. x = 29.33333333 Simplifying x = 29.33333333
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