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Simplifying 0.7(x + 200) = 0.75x + -250 Reorder the terms: 0.7(200 + x) = 0.75x + -250 (200 * 0.7 + x * 0.7) = 0.75x + -250 (140 + 0.7x) = 0.75x + -250 Reorder the terms: 140 + 0.7x = -250 + 0.75x Solving 140 + 0.7x = -250 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 140 + 0.7x + -0.75x = -250 + 0.75x + -0.75x Combine like terms: 0.7x + -0.75x = -0.05x 140 + -0.05x = -250 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 140 + -0.05x = -250 + 0.00 140 + -0.05x = -250 Add '-140' to each side of the equation. 140 + -140 + -0.05x = -250 + -140 Combine like terms: 140 + -140 = 0 0 + -0.05x = -250 + -140 -0.05x = -250 + -140 Combine like terms: -250 + -140 = -390 -0.05x = -390 Divide each side by '-0.05'. x = 7800 Simplifying x = 7800
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