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Simplifying 0.75x + 0.5(16 + -1x) = 0.10(-118) 0.75x + (16 * 0.5 + -1x * 0.5) = 0.10(-118) 0.75x + (8 + -0.5x) = 0.10(-118) Reorder the terms: 8 + 0.75x + -0.5x = 0.10(-118) Combine like terms: 0.75x + -0.5x = 0.25x 8 + 0.25x = 0.10(-118) Multiply 0.10 * -118 8 + 0.25x = -11.8 Solving 8 + 0.25x = -11.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 0.25x = -11.8 + -8 Combine like terms: 8 + -8 = 0 0 + 0.25x = -11.8 + -8 0.25x = -11.8 + -8 Combine like terms: -11.8 + -8 = -19.8 0.25x = -19.8 Divide each side by '0.25'. x = -79.2 Simplifying x = -79.2
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