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Simplifying 3(4 + x) = 5(10 + c) (4 * 3 + x * 3) = 5(10 + c) (12 + 3x) = 5(10 + c) 12 + 3x = (10 * 5 + c * 5) 12 + 3x = (50 + 5c) Solving 12 + 3x = 50 + 5c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3x = 50 + -12 + 5c Combine like terms: 12 + -12 = 0 0 + 3x = 50 + -12 + 5c 3x = 50 + -12 + 5c Combine like terms: 50 + -12 = 38 3x = 38 + 5c Divide each side by '3'. x = 12.66666667 + 1.666666667c Simplifying x = 12.66666667 + 1.666666667c
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