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Simplifying 4x + 4(75 + x) = 3500 4x + (75 * 4 + x * 4) = 3500 4x + (300 + 4x) = 3500 Reorder the terms: 300 + 4x + 4x = 3500 Combine like terms: 4x + 4x = 8x 300 + 8x = 3500 Solving 300 + 8x = 3500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-300' to each side of the equation. 300 + -300 + 8x = 3500 + -300 Combine like terms: 300 + -300 = 0 0 + 8x = 3500 + -300 8x = 3500 + -300 Combine like terms: 3500 + -300 = 3200 8x = 3200 Divide each side by '8'. x = 400 Simplifying x = 400
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