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Simplifying 0.5 + 6 = 0.1x + 9.2 Combine like terms: 0.5 + 6 = 6.5 6.5 = 0.1x + 9.2 Reorder the terms: 6.5 = 9.2 + 0.1x Solving 6.5 = 9.2 + 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. 6.5 + -0.1x = 9.2 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 6.5 + -0.1x = 9.2 + 0.0 6.5 + -0.1x = 9.2 Add '-6.5' to each side of the equation. 6.5 + -6.5 + -0.1x = 9.2 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -0.1x = 9.2 + -6.5 -0.1x = 9.2 + -6.5 Combine like terms: 9.2 + -6.5 = 2.7 -0.1x = 2.7 Divide each side by '-0.1'. x = -27 Simplifying x = -27
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