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Simplifying 0.75x + 0.05(4 + -1x) = 0.10(-124) 0.75x + (4 * 0.05 + -1x * 0.05) = 0.10(-124) 0.75x + (0.2 + -0.05x) = 0.10(-124) Reorder the terms: 0.2 + 0.75x + -0.05x = 0.10(-124) Combine like terms: 0.75x + -0.05x = 0.7x 0.2 + 0.7x = 0.10(-124) Multiply 0.10 * -124 0.2 + 0.7x = -12.4 Solving 0.2 + 0.7x = -12.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.7x = -12.4 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.7x = -12.4 + -0.2 0.7x = -12.4 + -0.2 Combine like terms: -12.4 + -0.2 = -12.6 0.7x = -12.6 Divide each side by '0.7'. x = -18 Simplifying x = -18
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