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Simplifying 0.8x + 0.05(8 + -1x) = 0.10(64) 0.8x + (8 * 0.05 + -1x * 0.05) = 0.10(64) 0.8x + (0.4 + -0.05x) = 0.10(64) Reorder the terms: 0.4 + 0.8x + -0.05x = 0.10(64) Combine like terms: 0.8x + -0.05x = 0.75x 0.4 + 0.75x = 0.10(64) Multiply 0.10 * 64 0.4 + 0.75x = 6.4 Solving 0.4 + 0.75x = 6.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.75x = 6.4 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.75x = 6.4 + -0.4 0.75x = 6.4 + -0.4 Combine like terms: 6.4 + -0.4 = 6 0.75x = 6 Divide each side by '0.75'. x = 8 Simplifying x = 8
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