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Simplifying 0.5x + 3 = 6x + -8 Reorder the terms: 3 + 0.5x = 6x + -8 Reorder the terms: 3 + 0.5x = -8 + 6x Solving 3 + 0.5x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + 0.5x + -6x = -8 + 6x + -6x Combine like terms: 0.5x + -6x = -5.5x 3 + -5.5x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -5.5x = -8 + 0 3 + -5.5x = -8 Add '-3' to each side of the equation. 3 + -3 + -5.5x = -8 + -3 Combine like terms: 3 + -3 = 0 0 + -5.5x = -8 + -3 -5.5x = -8 + -3 Combine like terms: -8 + -3 = -11 -5.5x = -11 Divide each side by '-5.5'. x = 2 Simplifying x = 2
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