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Simplifying 4(2x + 8) = 5(c + 4) Reorder the terms: 4(8 + 2x) = 5(c + 4) (8 * 4 + 2x * 4) = 5(c + 4) (32 + 8x) = 5(c + 4) Reorder the terms: 32 + 8x = 5(4 + c) 32 + 8x = (4 * 5 + c * 5) 32 + 8x = (20 + 5c) Solving 32 + 8x = 20 + 5c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 8x = 20 + -32 + 5c Combine like terms: 32 + -32 = 0 0 + 8x = 20 + -32 + 5c 8x = 20 + -32 + 5c Combine like terms: 20 + -32 = -12 8x = -12 + 5c Divide each side by '8'. x = -1.5 + 0.625c Simplifying x = -1.5 + 0.625c
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