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Simplifying 0.45x + 0.05(16 + -1x) = 0.10(40) 0.45x + (16 * 0.05 + -1x * 0.05) = 0.10(40) 0.45x + (0.8 + -0.05x) = 0.10(40) Reorder the terms: 0.8 + 0.45x + -0.05x = 0.10(40) Combine like terms: 0.45x + -0.05x = 0.4x 0.8 + 0.4x = 0.10(40) Multiply 0.10 * 40 0.8 + 0.4x = 4 Solving 0.8 + 0.4x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.4x = 4 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.4x = 4 + -0.8 0.4x = 4 + -0.8 Combine like terms: 4 + -0.8 = 3.2 0.4x = 3.2 Divide each side by '0.4'. x = 8 Simplifying x = 8
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