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Simplifying 2x + 3(32.5 + -0.5x) = 105 2x + (32.5 * 3 + -0.5x * 3) = 105 2x + (97.5 + -1.5x) = 105 Reorder the terms: 97.5 + 2x + -1.5x = 105 Combine like terms: 2x + -1.5x = 0.5x 97.5 + 0.5x = 105 Solving 97.5 + 0.5x = 105 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-97.5' to each side of the equation. 97.5 + -97.5 + 0.5x = 105 + -97.5 Combine like terms: 97.5 + -97.5 = 0.0 0.0 + 0.5x = 105 + -97.5 0.5x = 105 + -97.5 Combine like terms: 105 + -97.5 = 7.5 0.5x = 7.5 Divide each side by '0.5'. x = 15 Simplifying x = 15
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