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Simplifying 2(4x + 25) = 200 + -4x Reorder the terms: 2(25 + 4x) = 200 + -4x (25 * 2 + 4x * 2) = 200 + -4x (50 + 8x) = 200 + -4x Solving 50 + 8x = 200 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 50 + 8x + 4x = 200 + -4x + 4x Combine like terms: 8x + 4x = 12x 50 + 12x = 200 + -4x + 4x Combine like terms: -4x + 4x = 0 50 + 12x = 200 + 0 50 + 12x = 200 Add '-50' to each side of the equation. 50 + -50 + 12x = 200 + -50 Combine like terms: 50 + -50 = 0 0 + 12x = 200 + -50 12x = 200 + -50 Combine like terms: 200 + -50 = 150 12x = 150 Divide each side by '12'. x = 12.5 Simplifying x = 12.5
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