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Simplifying 1.25x + 5(50 + -1x) = 2(50) 1.25x + (50 * 5 + -1x * 5) = 2(50) 1.25x + (250 + -5x) = 2(50) Reorder the terms: 250 + 1.25x + -5x = 2(50) Combine like terms: 1.25x + -5x = -3.75x 250 + -3.75x = 2(50) Multiply 2 * 50 250 + -3.75x = 100 Solving 250 + -3.75x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-250' to each side of the equation. 250 + -250 + -3.75x = 100 + -250 Combine like terms: 250 + -250 = 0 0 + -3.75x = 100 + -250 -3.75x = 100 + -250 Combine like terms: 100 + -250 = -150 -3.75x = -150 Divide each side by '-3.75'. x = 40 Simplifying x = 40
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