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Simplifying 0.5x + -0.2(50 + x) = 0.16(50) 0.5x + (50 * -0.2 + x * -0.2) = 0.16(50) 0.5x + (-10 + -0.2x) = 0.16(50) Reorder the terms: -10 + 0.5x + -0.2x = 0.16(50) Combine like terms: 0.5x + -0.2x = 0.3x -10 + 0.3x = 0.16(50) Multiply 0.16 * 50 -10 + 0.3x = 8 Solving -10 + 0.3x = 8 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 + 0.3x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 0.3x = 8 + 10 0.3x = 8 + 10 Combine like terms: 8 + 10 = 18 0.3x = 18 Divide each side by '0.3'. x = 60 Simplifying x = 60
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