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Simplifying 0.45 + 0.05(12 + -1x) = 0.10(-50) 0.45 + (12 * 0.05 + -1x * 0.05) = 0.10(-50) 0.45 + (0.6 + -0.05x) = 0.10(-50) Combine like terms: 0.45 + 0.6 = 1.05 1.05 + -0.05x = 0.10(-50) Multiply 0.10 * -50 1.05 + -0.05x = -5 Solving 1.05 + -0.05x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.05' to each side of the equation. 1.05 + -1.05 + -0.05x = -5 + -1.05 Combine like terms: 1.05 + -1.05 = 0.00 0.00 + -0.05x = -5 + -1.05 -0.05x = -5 + -1.05 Combine like terms: -5 + -1.05 = -6.05 -0.05x = -6.05 Divide each side by '-0.05'. x = 121 Simplifying x = 121
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