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Simplifying 8(c + 5) = 7(x + 8) Reorder the terms: 8(5 + c) = 7(x + 8) (5 * 8 + c * 8) = 7(x + 8) (40 + 8c) = 7(x + 8) Reorder the terms: 40 + 8c = 7(8 + x) 40 + 8c = (8 * 7 + x * 7) 40 + 8c = (56 + 7x) Solving 40 + 8c = 56 + 7x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 8c = 56 + -40 + 7x Combine like terms: 40 + -40 = 0 0 + 8c = 56 + -40 + 7x 8c = 56 + -40 + 7x Combine like terms: 56 + -40 = 16 8c = 16 + 7x Divide each side by '8'. c = 2 + 0.875x Simplifying c = 2 + 0.875x
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