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Simplifying -5(4x + -5) + 2c + 3 = 100 Reorder the terms: -5(-5 + 4x) + 2c + 3 = 100 (-5 * -5 + 4x * -5) + 2c + 3 = 100 (25 + -20x) + 2c + 3 = 100 Reorder the terms: 25 + 3 + 2c + -20x = 100 Combine like terms: 25 + 3 = 28 28 + 2c + -20x = 100 Solving 28 + 2c + -20x = 100 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + 2c + -28 + -20x = 100 + -28 Reorder the terms: 28 + -28 + 2c + -20x = 100 + -28 Combine like terms: 28 + -28 = 0 0 + 2c + -20x = 100 + -28 2c + -20x = 100 + -28 Combine like terms: 100 + -28 = 72 2c + -20x = 72 Add '20x' to each side of the equation. 2c + -20x + 20x = 72 + 20x Combine like terms: -20x + 20x = 0 2c + 0 = 72 + 20x 2c = 72 + 20x Divide each side by '2'. c = 36 + 10x Simplifying c = 36 + 10x
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