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Simplifying 2(4x + 1) = 7(c + 1) Reorder the terms: 2(1 + 4x) = 7(c + 1) (1 * 2 + 4x * 2) = 7(c + 1) (2 + 8x) = 7(c + 1) Reorder the terms: 2 + 8x = 7(1 + c) 2 + 8x = (1 * 7 + c * 7) 2 + 8x = (7 + 7c) Solving 2 + 8x = 7 + 7c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8x = 7 + -2 + 7c Combine like terms: 2 + -2 = 0 0 + 8x = 7 + -2 + 7c 8x = 7 + -2 + 7c Combine like terms: 7 + -2 = 5 8x = 5 + 7c Divide each side by '8'. x = 0.625 + 0.875c Simplifying x = 0.625 + 0.875c
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