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Simplifying 8x + 2(x + 400) = 3200 Reorder the terms: 8x + 2(400 + x) = 3200 8x + (400 * 2 + x * 2) = 3200 8x + (800 + 2x) = 3200 Reorder the terms: 800 + 8x + 2x = 3200 Combine like terms: 8x + 2x = 10x 800 + 10x = 3200 Solving 800 + 10x = 3200 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-800' to each side of the equation. 800 + -800 + 10x = 3200 + -800 Combine like terms: 800 + -800 = 0 0 + 10x = 3200 + -800 10x = 3200 + -800 Combine like terms: 3200 + -800 = 2400 10x = 2400 Divide each side by '10'. x = 240 Simplifying x = 240
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