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Simplifying 0.25x + 0.75(10 + -1x) = 0.79(10) 0.25x + (10 * 0.75 + -1x * 0.75) = 0.79(10) 0.25x + (7.5 + -0.75x) = 0.79(10) Reorder the terms: 7.5 + 0.25x + -0.75x = 0.79(10) Combine like terms: 0.25x + -0.75x = -0.5x 7.5 + -0.5x = 0.79(10) Multiply 0.79 * 10 7.5 + -0.5x = 7.9 Solving 7.5 + -0.5x = 7.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + -0.5x = 7.9 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -0.5x = 7.9 + -7.5 -0.5x = 7.9 + -7.5 Combine like terms: 7.9 + -7.5 = 0.4 -0.5x = 0.4 Divide each side by '-0.5'. x = -0.8 Simplifying x = -0.8
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