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Simplifying (3x + 17) + (0.5x + -5) = 180 Reorder the terms: (17 + 3x) + (0.5x + -5) = 180 Remove parenthesis around (17 + 3x) 17 + 3x + (0.5x + -5) = 180 Reorder the terms: 17 + 3x + (-5 + 0.5x) = 180 Remove parenthesis around (-5 + 0.5x) 17 + 3x + -5 + 0.5x = 180 Reorder the terms: 17 + -5 + 3x + 0.5x = 180 Combine like terms: 17 + -5 = 12 12 + 3x + 0.5x = 180 Combine like terms: 3x + 0.5x = 3.5x 12 + 3.5x = 180 Solving 12 + 3.5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3.5x = 180 + -12 Combine like terms: 12 + -12 = 0 0 + 3.5x = 180 + -12 3.5x = 180 + -12 Combine like terms: 180 + -12 = 168 3.5x = 168 Divide each side by '3.5'. x = 48 Simplifying x = 48
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