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Simplifying 180 = (3x + 17) + (0.5x + -5) Reorder the terms: 180 = (17 + 3x) + (0.5x + -5) Remove parenthesis around (17 + 3x) 180 = 17 + 3x + (0.5x + -5) Reorder the terms: 180 = 17 + 3x + (-5 + 0.5x) Remove parenthesis around (-5 + 0.5x) 180 = 17 + 3x + -5 + 0.5x Reorder the terms: 180 = 17 + -5 + 3x + 0.5x Combine like terms: 17 + -5 = 12 180 = 12 + 3x + 0.5x Combine like terms: 3x + 0.5x = 3.5x 180 = 12 + 3.5x Solving 180 = 12 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 180 + -3.5x = 12 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 180 + -3.5x = 12 + 0.0 180 + -3.5x = 12 Add '-180' to each side of the equation. 180 + -180 + -3.5x = 12 + -180 Combine like terms: 180 + -180 = 0 0 + -3.5x = 12 + -180 -3.5x = 12 + -180 Combine like terms: 12 + -180 = -168 -3.5x = -168 Divide each side by '-3.5'. x = 48 Simplifying x = 48
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