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Simplifying 0.45 + 0.05(8 + -1x) = 0.10(36) 0.45 + (8 * 0.05 + -1x * 0.05) = 0.10(36) 0.45 + (0.4 + -0.05x) = 0.10(36) Combine like terms: 0.45 + 0.4 = 0.85 0.85 + -0.05x = 0.10(36) Multiply 0.10 * 36 0.85 + -0.05x = 3.6 Solving 0.85 + -0.05x = 3.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.85' to each side of the equation. 0.85 + -0.85 + -0.05x = 3.6 + -0.85 Combine like terms: 0.85 + -0.85 = 0.00 0.00 + -0.05x = 3.6 + -0.85 -0.05x = 3.6 + -0.85 Combine like terms: 3.6 + -0.85 = 2.75 -0.05x = 2.75 Divide each side by '-0.05'. x = -55 Simplifying x = -55
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