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Simplifying 0.75x + 0.05(10 + -1x) = 0.1(-79) 0.75x + (10 * 0.05 + -1x * 0.05) = 0.1(-79) 0.75x + (0.5 + -0.05x) = 0.1(-79) Reorder the terms: 0.5 + 0.75x + -0.05x = 0.1(-79) Combine like terms: 0.75x + -0.05x = 0.7x 0.5 + 0.7x = 0.1(-79) Multiply 0.1 * -79 0.5 + 0.7x = -7.9 Solving 0.5 + 0.7x = -7.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.7x = -7.9 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.7x = -7.9 + -0.5 0.7x = -7.9 + -0.5 Combine like terms: -7.9 + -0.5 = -8.4 0.7x = -8.4 Divide each side by '0.7'. x = -12 Simplifying x = -12
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