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Simplifying 0.45x + 0.05(10 + -1x) = 0.10(53) 0.45x + (10 * 0.05 + -1x * 0.05) = 0.10(53) 0.45x + (0.5 + -0.05x) = 0.10(53) Reorder the terms: 0.5 + 0.45x + -0.05x = 0.10(53) Combine like terms: 0.45x + -0.05x = 0.4x 0.5 + 0.4x = 0.10(53) Multiply 0.10 * 53 0.5 + 0.4x = 5.3 Solving 0.5 + 0.4x = 5.3 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 + 0.4x = 5.3 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.4x = 5.3 + -0.5 0.4x = 5.3 + -0.5 Combine like terms: 5.3 + -0.5 = 4.8 0.4x = 4.8 Divide each side by '0.4'. x = 12 Simplifying x = 12
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