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Simplifying -16x2 + 200x = -16x2 + 192x + 320 Reorder the terms: 200x + -16x2 = -16x2 + 192x + 320 Reorder the terms: 200x + -16x2 = 320 + 192x + -16x2 Add '16x2' to each side of the equation. 200x + -16x2 + 16x2 = 320 + 192x + -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 200x + 0 = 320 + 192x + -16x2 + 16x2 200x = 320 + 192x + -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 200x = 320 + 192x + 0 200x = 320 + 192x Solving 200x = 320 + 192x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-192x' to each side of the equation. 200x + -192x = 320 + 192x + -192x Combine like terms: 200x + -192x = 8x 8x = 320 + 192x + -192x Combine like terms: 192x + -192x = 0 8x = 320 + 0 8x = 320 Divide each side by '8'. x = 40 Simplifying x = 40
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