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Simplifying 8c + -1(2x + -7) = 31 Reorder the terms: 8c + -1(-7 + 2x) = 31 8c + (-7 * -1 + 2x * -1) = 31 8c + (7 + -2x) = 31 Reorder the terms: 7 + 8c + -2x = 31 Solving 7 + 8c + -2x = 31 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 8c + -7 + -2x = 31 + -7 Reorder the terms: 7 + -7 + 8c + -2x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 8c + -2x = 31 + -7 8c + -2x = 31 + -7 Combine like terms: 31 + -7 = 24 8c + -2x = 24 Add '2x' to each side of the equation. 8c + -2x + 2x = 24 + 2x Combine like terms: -2x + 2x = 0 8c + 0 = 24 + 2x 8c = 24 + 2x Divide each side by '8'. c = 3 + 0.25x Simplifying c = 3 + 0.25x
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