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Simplifying 0.75x + 0.05(2 + -1x) = 0.10(-83) 0.75x + (2 * 0.05 + -1x * 0.05) = 0.10(-83) 0.75x + (0.1 + -0.05x) = 0.10(-83) Reorder the terms: 0.1 + 0.75x + -0.05x = 0.10(-83) Combine like terms: 0.75x + -0.05x = 0.7x 0.1 + 0.7x = 0.10(-83) Multiply 0.10 * -83 0.1 + 0.7x = -8.3 Solving 0.1 + 0.7x = -8.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.7x = -8.3 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.7x = -8.3 + -0.1 0.7x = -8.3 + -0.1 Combine like terms: -8.3 + -0.1 = -8.4 0.7x = -8.4 Divide each side by '0.7'. x = -12 Simplifying x = -12
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