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Simplifying 3x + 2(x + 400) = 2900 Reorder the terms: 3x + 2(400 + x) = 2900 3x + (400 * 2 + x * 2) = 2900 3x + (800 + 2x) = 2900 Reorder the terms: 800 + 3x + 2x = 2900 Combine like terms: 3x + 2x = 5x 800 + 5x = 2900 Solving 800 + 5x = 2900 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 + 5x = 2900 + -800 Combine like terms: 800 + -800 = 0 0 + 5x = 2900 + -800 5x = 2900 + -800 Combine like terms: 2900 + -800 = 2100 5x = 2100 Divide each side by '5'. x = 420 Simplifying x = 420
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