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Simplifying 8c + -1(5x + -22) = 49 Reorder the terms: 8c + -1(-22 + 5x) = 49 8c + (-22 * -1 + 5x * -1) = 49 8c + (22 + -5x) = 49 Reorder the terms: 22 + 8c + -5x = 49 Solving 22 + 8c + -5x = 49 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + 8c + -22 + -5x = 49 + -22 Reorder the terms: 22 + -22 + 8c + -5x = 49 + -22 Combine like terms: 22 + -22 = 0 0 + 8c + -5x = 49 + -22 8c + -5x = 49 + -22 Combine like terms: 49 + -22 = 27 8c + -5x = 27 Add '5x' to each side of the equation. 8c + -5x + 5x = 27 + 5x Combine like terms: -5x + 5x = 0 8c + 0 = 27 + 5x 8c = 27 + 5x Divide each side by '8'. c = 3.375 + 0.625x Simplifying c = 3.375 + 0.625x
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