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Simplifying 0.8(x + 200) = 0.87x + -386 Reorder the terms: 0.8(200 + x) = 0.87x + -386 (200 * 0.8 + x * 0.8) = 0.87x + -386 (160 + 0.8x) = 0.87x + -386 Reorder the terms: 160 + 0.8x = -386 + 0.87x Solving 160 + 0.8x = -386 + 0.87x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.87x' to each side of the equation. 160 + 0.8x + -0.87x = -386 + 0.87x + -0.87x Combine like terms: 0.8x + -0.87x = -0.07x 160 + -0.07x = -386 + 0.87x + -0.87x Combine like terms: 0.87x + -0.87x = 0.00 160 + -0.07x = -386 + 0.00 160 + -0.07x = -386 Add '-160' to each side of the equation. 160 + -160 + -0.07x = -386 + -160 Combine like terms: 160 + -160 = 0 0 + -0.07x = -386 + -160 -0.07x = -386 + -160 Combine like terms: -386 + -160 = -546 -0.07x = -546 Divide each side by '-0.07'. x = 7800 Simplifying x = 7800
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