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Simplifying 0.80x + 0.05(2 + -1x) = 0.10(76) 0.80x + (2 * 0.05 + -1x * 0.05) = 0.10(76) 0.80x + (0.1 + -0.05x) = 0.10(76) Reorder the terms: 0.1 + 0.80x + -0.05x = 0.10(76) Combine like terms: 0.80x + -0.05x = 0.75x 0.1 + 0.75x = 0.10(76) Multiply 0.10 * 76 0.1 + 0.75x = 7.6 Solving 0.1 + 0.75x = 7.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.75x = 7.6 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.75x = 7.6 + -0.1 0.75x = 7.6 + -0.1 Combine like terms: 7.6 + -0.1 = 7.5 0.75x = 7.5 Divide each side by '0.75'. x = 10 Simplifying x = 10
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