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Simplifying 0.5x + 4 = 8.5x + 6 Reorder the terms: 4 + 0.5x = 8.5x + 6 Reorder the terms: 4 + 0.5x = 6 + 8.5x Solving 4 + 0.5x = 6 + 8.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.5x' to each side of the equation. 4 + 0.5x + -8.5x = 6 + 8.5x + -8.5x Combine like terms: 0.5x + -8.5x = -8x 4 + -8x = 6 + 8.5x + -8.5x Combine like terms: 8.5x + -8.5x = 0.0 4 + -8x = 6 + 0.0 4 + -8x = 6 Add '-4' to each side of the equation. 4 + -4 + -8x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = 6 + -4 -8x = 6 + -4 Combine like terms: 6 + -4 = 2 -8x = 2 Divide each side by '-8'. x = -0.25 Simplifying x = -0.25
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