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Simplifying 0.75x + 0.05(12 + -1x) = 0.10(-78) 0.75x + (12 * 0.05 + -1x * 0.05) = 0.10(-78) 0.75x + (0.6 + -0.05x) = 0.10(-78) Reorder the terms: 0.6 + 0.75x + -0.05x = 0.10(-78) Combine like terms: 0.75x + -0.05x = 0.7x 0.6 + 0.7x = 0.10(-78) Multiply 0.10 * -78 0.6 + 0.7x = -7.8 Solving 0.6 + 0.7x = -7.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.7x = -7.8 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.7x = -7.8 + -0.6 0.7x = -7.8 + -0.6 Combine like terms: -7.8 + -0.6 = -8.4 0.7x = -8.4 Divide each side by '0.7'. x = -12 Simplifying x = -12
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