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Simplifying 0.8x + -0.2(50 + x) = 0.76(50) 0.8x + (50 * -0.2 + x * -0.2) = 0.76(50) 0.8x + (-10 + -0.2x) = 0.76(50) Reorder the terms: -10 + 0.8x + -0.2x = 0.76(50) Combine like terms: 0.8x + -0.2x = 0.6x -10 + 0.6x = 0.76(50) Multiply 0.76 * 50 -10 + 0.6x = 38 Solving -10 + 0.6x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 0.6x = 38 + 10 Combine like terms: -10 + 10 = 0 0 + 0.6x = 38 + 10 0.6x = 38 + 10 Combine like terms: 38 + 10 = 48 0.6x = 48 Divide each side by '0.6'. x = 80 Simplifying x = 80
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