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Simplifying 4(3x + 1) + 6 = 5(2b + 4) Reorder the terms: 4(1 + 3x) + 6 = 5(2b + 4) (1 * 4 + 3x * 4) + 6 = 5(2b + 4) (4 + 12x) + 6 = 5(2b + 4) Reorder the terms: 4 + 6 + 12x = 5(2b + 4) Combine like terms: 4 + 6 = 10 10 + 12x = 5(2b + 4) Reorder the terms: 10 + 12x = 5(4 + 2b) 10 + 12x = (4 * 5 + 2b * 5) 10 + 12x = (20 + 10b) Solving 10 + 12x = 20 + 10b 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 + 12x = 20 + -10 + 10b Combine like terms: 10 + -10 = 0 0 + 12x = 20 + -10 + 10b 12x = 20 + -10 + 10b Combine like terms: 20 + -10 = 10 12x = 10 + 10b Divide each side by '12'. x = 0.8333333333 + 0.8333333333b Simplifying x = 0.8333333333 + 0.8333333333b
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