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Simplifying 5(1820 + -1x) + 2c = 6100 (1820 * 5 + -1x * 5) + 2c = 6100 (9100 + -5x) + 2c = 6100 Reorder the terms: 9100 + 2c + -5x = 6100 Solving 9100 + 2c + -5x = 6100 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9100' to each side of the equation. 9100 + 2c + -9100 + -5x = 6100 + -9100 Reorder the terms: 9100 + -9100 + 2c + -5x = 6100 + -9100 Combine like terms: 9100 + -9100 = 0 0 + 2c + -5x = 6100 + -9100 2c + -5x = 6100 + -9100 Combine like terms: 6100 + -9100 = -3000 2c + -5x = -3000 Add '5x' to each side of the equation. 2c + -5x + 5x = -3000 + 5x Combine like terms: -5x + 5x = 0 2c + 0 = -3000 + 5x 2c = -3000 + 5x Divide each side by '2'. c = -1500 + 2.5x Simplifying c = -1500 + 2.5x
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