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Simplifying 5(x + 7) = 6(2 + c) Reorder the terms: 5(7 + x) = 6(2 + c) (7 * 5 + x * 5) = 6(2 + c) (35 + 5x) = 6(2 + c) 35 + 5x = (2 * 6 + c * 6) 35 + 5x = (12 + 6c) Solving 35 + 5x = 12 + 6c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 5x = 12 + -35 + 6c Combine like terms: 35 + -35 = 0 0 + 5x = 12 + -35 + 6c 5x = 12 + -35 + 6c Combine like terms: 12 + -35 = -23 5x = -23 + 6c Divide each side by '5'. x = -4.6 + 1.2c Simplifying x = -4.6 + 1.2c
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