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Simplifying x + 3 = 16.5 + -0.5x Reorder the terms: 3 + x = 16.5 + -0.5x Solving 3 + x = 16.5 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 3 + x + 0.5x = 16.5 + -0.5x + 0.5x Combine like terms: x + 0.5x = 1.5x 3 + 1.5x = 16.5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 3 + 1.5x = 16.5 + 0.0 3 + 1.5x = 16.5 Add '-3' to each side of the equation. 3 + -3 + 1.5x = 16.5 + -3 Combine like terms: 3 + -3 = 0 0 + 1.5x = 16.5 + -3 1.5x = 16.5 + -3 Combine like terms: 16.5 + -3 = 13.5 1.5x = 13.5 Divide each side by '1.5'. x = 9 Simplifying x = 9
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