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Simplifying 0.5x + 5 = 6x + 20 Reorder the terms: 5 + 0.5x = 6x + 20 Reorder the terms: 5 + 0.5x = 20 + 6x Solving 5 + 0.5x = 20 + 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. 5 + 0.5x + -6x = 20 + 6x + -6x Combine like terms: 0.5x + -6x = -5.5x 5 + -5.5x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -5.5x = 20 + 0 5 + -5.5x = 20 Add '-5' to each side of the equation. 5 + -5 + -5.5x = 20 + -5 Combine like terms: 5 + -5 = 0 0 + -5.5x = 20 + -5 -5.5x = 20 + -5 Combine like terms: 20 + -5 = 15 -5.5x = 15 Divide each side by '-5.5'. x = -2.727272727 Simplifying x = -2.727272727
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