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Simplifying 0.50x + 0.05(6 + -1x) = 0.10(-51) 0.50x + (6 * 0.05 + -1x * 0.05) = 0.10(-51) 0.50x + (0.3 + -0.05x) = 0.10(-51) Reorder the terms: 0.3 + 0.50x + -0.05x = 0.10(-51) Combine like terms: 0.50x + -0.05x = 0.45x 0.3 + 0.45x = 0.10(-51) Multiply 0.10 * -51 0.3 + 0.45x = -5.1 Solving 0.3 + 0.45x = -5.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.45x = -5.1 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.45x = -5.1 + -0.3 0.45x = -5.1 + -0.3 Combine like terms: -5.1 + -0.3 = -5.4 0.45x = -5.4 Divide each side by '0.45'. x = -12 Simplifying x = -12
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