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Simplifying -0.5x + 8.11 = 0.1x + 5.31 Reorder the terms: 8.11 + -0.5x = 0.1x + 5.31 Reorder the terms: 8.11 + -0.5x = 5.31 + 0.1x Solving 8.11 + -0.5x = 5.31 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 8.11 + -0.5x + -0.1x = 5.31 + 0.1x + -0.1x Combine like terms: -0.5x + -0.1x = -0.6x 8.11 + -0.6x = 5.31 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 8.11 + -0.6x = 5.31 + 0.0 8.11 + -0.6x = 5.31 Add '-8.11' to each side of the equation. 8.11 + -8.11 + -0.6x = 5.31 + -8.11 Combine like terms: 8.11 + -8.11 = 0.00 0.00 + -0.6x = 5.31 + -8.11 -0.6x = 5.31 + -8.11 Combine like terms: 5.31 + -8.11 = -2.8 -0.6x = -2.8 Divide each side by '-0.6'. x = 4.666666667 Simplifying x = 4.666666667
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