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Simplifying 10x + 25(6 + x) = 570 10x + (6 * 25 + x * 25) = 570 10x + (150 + 25x) = 570 Reorder the terms: 150 + 10x + 25x = 570 Combine like terms: 10x + 25x = 35x 150 + 35x = 570 Solving 150 + 35x = 570 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -150 + 35x = 570 + -150 Combine like terms: 150 + -150 = 0 0 + 35x = 570 + -150 35x = 570 + -150 Combine like terms: 570 + -150 = 420 35x = 420 Divide each side by '35'. x = 12 Simplifying x = 12
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