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Simplifying 10x + 20(x + 11) = 470 Reorder the terms: 10x + 20(11 + x) = 470 10x + (11 * 20 + x * 20) = 470 10x + (220 + 20x) = 470 Reorder the terms: 220 + 10x + 20x = 470 Combine like terms: 10x + 20x = 30x 220 + 30x = 470 Solving 220 + 30x = 470 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-220' to each side of the equation. 220 + -220 + 30x = 470 + -220 Combine like terms: 220 + -220 = 0 0 + 30x = 470 + -220 30x = 470 + -220 Combine like terms: 470 + -220 = 250 30x = 250 Divide each side by '30'. x = 8.333333333 Simplifying x = 8.333333333
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