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Simplifying 0.7x + -0.2(50 + x) = 7.52(50) 0.7x + (50 * -0.2 + x * -0.2) = 7.52(50) 0.7x + (-10 + -0.2x) = 7.52(50) Reorder the terms: -10 + 0.7x + -0.2x = 7.52(50) Combine like terms: 0.7x + -0.2x = 0.5x -10 + 0.5x = 7.52(50) Multiply 7.52 * 50 -10 + 0.5x = 376 Solving -10 + 0.5x = 376 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 + 0.5x = 376 + 10 Combine like terms: -10 + 10 = 0 0 + 0.5x = 376 + 10 0.5x = 376 + 10 Combine like terms: 376 + 10 = 386 0.5x = 386 Divide each side by '0.5'. x = 772 Simplifying x = 772
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