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Simplifying 3 + 2x = 0.5x + -8 Reorder the terms: 3 + 2x = -8 + 0.5x Solving 3 + 2x = -8 + 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 + 2x + -0.5x = -8 + 0.5x + -0.5x Combine like terms: 2x + -0.5x = 1.5x 3 + 1.5x = -8 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 3 + 1.5x = -8 + 0.0 3 + 1.5x = -8 Add '-3' to each side of the equation. 3 + -3 + 1.5x = -8 + -3 Combine like terms: 3 + -3 = 0 0 + 1.5x = -8 + -3 1.5x = -8 + -3 Combine like terms: -8 + -3 = -11 1.5x = -11 Divide each side by '1.5'. x = -7.333333333 Simplifying x = -7.333333333
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