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Simplifying 0.45 + 0.05(20 + -1x) = 0.10(82) 0.45 + (20 * 0.05 + -1x * 0.05) = 0.10(82) 0.45 + (1 + -0.05x) = 0.10(82) Combine like terms: 0.45 + 1 = 1.45 1.45 + -0.05x = 0.10(82) Multiply 0.10 * 82 1.45 + -0.05x = 8.2 Solving 1.45 + -0.05x = 8.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.45' to each side of the equation. 1.45 + -1.45 + -0.05x = 8.2 + -1.45 Combine like terms: 1.45 + -1.45 = 0.00 0.00 + -0.05x = 8.2 + -1.45 -0.05x = 8.2 + -1.45 Combine like terms: 8.2 + -1.45 = 6.75 -0.05x = 6.75 Divide each side by '-0.05'. x = -135 Simplifying x = -135
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