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Simplifying 2(100 + x) + 2(150 + x) = 15000 (100 * 2 + x * 2) + 2(150 + x) = 15000 (200 + 2x) + 2(150 + x) = 15000 200 + 2x + (150 * 2 + x * 2) = 15000 200 + 2x + (300 + 2x) = 15000 Reorder the terms: 200 + 300 + 2x + 2x = 15000 Combine like terms: 200 + 300 = 500 500 + 2x + 2x = 15000 Combine like terms: 2x + 2x = 4x 500 + 4x = 15000 Solving 500 + 4x = 15000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + -500 + 4x = 15000 + -500 Combine like terms: 500 + -500 = 0 0 + 4x = 15000 + -500 4x = 15000 + -500 Combine like terms: 15000 + -500 = 14500 4x = 14500 Divide each side by '4'. x = 3625 Simplifying x = 3625
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