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Simplifying 5x + (1.5x + 2) + (3x + -1) + (2x + 4) = 180 Reorder the terms: 5x + (2 + 1.5x) + (3x + -1) + (2x + 4) = 180 Remove parenthesis around (2 + 1.5x) 5x + 2 + 1.5x + (3x + -1) + (2x + 4) = 180 Reorder the terms: 5x + 2 + 1.5x + (-1 + 3x) + (2x + 4) = 180 Remove parenthesis around (-1 + 3x) 5x + 2 + 1.5x + -1 + 3x + (2x + 4) = 180 Reorder the terms: 5x + 2 + 1.5x + -1 + 3x + (4 + 2x) = 180 Remove parenthesis around (4 + 2x) 5x + 2 + 1.5x + -1 + 3x + 4 + 2x = 180 Reorder the terms: 2 + -1 + 4 + 5x + 1.5x + 3x + 2x = 180 Combine like terms: 2 + -1 = 1 1 + 4 + 5x + 1.5x + 3x + 2x = 180 Combine like terms: 1 + 4 = 5 5 + 5x + 1.5x + 3x + 2x = 180 Combine like terms: 5x + 1.5x = 6.5x 5 + 6.5x + 3x + 2x = 180 Combine like terms: 6.5x + 3x = 9.5x 5 + 9.5x + 2x = 180 Combine like terms: 9.5x + 2x = 11.5x 5 + 11.5x = 180 Solving 5 + 11.5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 11.5x = 180 + -5 Combine like terms: 5 + -5 = 0 0 + 11.5x = 180 + -5 11.5x = 180 + -5 Combine like terms: 180 + -5 = 175 11.5x = 175 Divide each side by '11.5'. x = 15.2173913 Simplifying x = 15.2173913
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