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Simplifying 20x + 30(x + 4) = 470 Reorder the terms: 20x + 30(4 + x) = 470 20x + (4 * 30 + x * 30) = 470 20x + (120 + 30x) = 470 Reorder the terms: 120 + 20x + 30x = 470 Combine like terms: 20x + 30x = 50x 120 + 50x = 470 Solving 120 + 50x = 470 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 50x = 470 + -120 Combine like terms: 120 + -120 = 0 0 + 50x = 470 + -120 50x = 470 + -120 Combine like terms: 470 + -120 = 350 50x = 350 Divide each side by '50'. x = 7 Simplifying x = 7
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