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Simplifying 0.50x + 0.05(14 + -1x) = 0.10(-74) 0.50x + (14 * 0.05 + -1x * 0.05) = 0.10(-74) 0.50x + (0.7 + -0.05x) = 0.10(-74) Reorder the terms: 0.7 + 0.50x + -0.05x = 0.10(-74) Combine like terms: 0.50x + -0.05x = 0.45x 0.7 + 0.45x = 0.10(-74) Multiply 0.10 * -74 0.7 + 0.45x = -7.4 Solving 0.7 + 0.45x = -7.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + 0.45x = -7.4 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.45x = -7.4 + -0.7 0.45x = -7.4 + -0.7 Combine like terms: -7.4 + -0.7 = -8.1 0.45x = -8.1 Divide each side by '0.45'. x = -18 Simplifying x = -18
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