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Simplifying 2(4x + 5) = -22 + 4c Reorder the terms: 2(5 + 4x) = -22 + 4c (5 * 2 + 4x * 2) = -22 + 4c (10 + 8x) = -22 + 4c Solving 10 + 8x = -22 + 4c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 8x = -22 + -10 + 4c Combine like terms: 10 + -10 = 0 0 + 8x = -22 + -10 + 4c 8x = -22 + -10 + 4c Combine like terms: -22 + -10 = -32 8x = -32 + 4c Divide each side by '8'. x = -4 + 0.5c Simplifying x = -4 + 0.5c
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