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Simplifying 0.1x + 0.5 + 0.10x = 7.77 Reorder the terms: 0.5 + 0.1x + 0.10x = 7.77 Combine like terms: 0.1x + 0.10x = 0.2x 0.5 + 0.2x = 7.77 Solving 0.5 + 0.2x = 7.77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.2x = 7.77 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.2x = 7.77 + -0.5 0.2x = 7.77 + -0.5 Combine like terms: 7.77 + -0.5 = 7.27 0.2x = 7.27 Divide each side by '0.2'. x = 36.35 Simplifying x = 36.35
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