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Simplifying 0.5x + 6 = 0.1x + 9.2 Reorder the terms: 6 + 0.5x = 0.1x + 9.2 Reorder the terms: 6 + 0.5x = 9.2 + 0.1x Solving 6 + 0.5x = 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 + 0.5x + -0.1x = 9.2 + 0.1x + -0.1x Combine like terms: 0.5x + -0.1x = 0.4x 6 + 0.4x = 9.2 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 6 + 0.4x = 9.2 + 0.0 6 + 0.4x = 9.2 Add '-6' to each side of the equation. 6 + -6 + 0.4x = 9.2 + -6 Combine like terms: 6 + -6 = 0 0 + 0.4x = 9.2 + -6 0.4x = 9.2 + -6 Combine like terms: 9.2 + -6 = 3.2 0.4x = 3.2 Divide each side by '0.4'. x = 8 Simplifying x = 8
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