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Simplifying 0.50x + 0.05(6 + -1x) = 0.10(-78) 0.50x + (6 * 0.05 + -1x * 0.05) = 0.10(-78) 0.50x + (0.3 + -0.05x) = 0.10(-78) Reorder the terms: 0.3 + 0.50x + -0.05x = 0.10(-78) Combine like terms: 0.50x + -0.05x = 0.45x 0.3 + 0.45x = 0.10(-78) Multiply 0.10 * -78 0.3 + 0.45x = -7.8 Solving 0.3 + 0.45x = -7.8 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 = -7.8 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.45x = -7.8 + -0.3 0.45x = -7.8 + -0.3 Combine like terms: -7.8 + -0.3 = -8.1 0.45x = -8.1 Divide each side by '0.45'. x = -18 Simplifying x = -18
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