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Simplifying 25x + 5(70 + x) + 10(x + 70 + 20) = 6850 25x + (70 * 5 + x * 5) + 10(x + 70 + 20) = 6850 25x + (350 + 5x) + 10(x + 70 + 20) = 6850 Reorder the terms: 25x + 350 + 5x + 10(70 + 20 + x) = 6850 Combine like terms: 70 + 20 = 90 25x + 350 + 5x + 10(90 + x) = 6850 25x + 350 + 5x + (90 * 10 + x * 10) = 6850 25x + 350 + 5x + (900 + 10x) = 6850 Reorder the terms: 350 + 900 + 25x + 5x + 10x = 6850 Combine like terms: 350 + 900 = 1250 1250 + 25x + 5x + 10x = 6850 Combine like terms: 25x + 5x = 30x 1250 + 30x + 10x = 6850 Combine like terms: 30x + 10x = 40x 1250 + 40x = 6850 Solving 1250 + 40x = 6850 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1250' to each side of the equation. 1250 + -1250 + 40x = 6850 + -1250 Combine like terms: 1250 + -1250 = 0 0 + 40x = 6850 + -1250 40x = 6850 + -1250 Combine like terms: 6850 + -1250 = 5600 40x = 5600 Divide each side by '40'. x = 140 Simplifying x = 140
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