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Simplifying 6(2x + 1) = 6(1 + 7x) Reorder the terms: 6(1 + 2x) = 6(1 + 7x) (1 * 6 + 2x * 6) = 6(1 + 7x) (6 + 12x) = 6(1 + 7x) 6 + 12x = (1 * 6 + 7x * 6) 6 + 12x = (6 + 42x) Add '-6' to each side of the equation. 6 + -6 + 12x = 6 + -6 + 42x Combine like terms: 6 + -6 = 0 0 + 12x = 6 + -6 + 42x 12x = 6 + -6 + 42x Combine like terms: 6 + -6 = 0 12x = 0 + 42x 12x = 42x Solving 12x = 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 12x + -42x = 42x + -42x Combine like terms: 12x + -42x = -30x -30x = 42x + -42x Combine like terms: 42x + -42x = 0 -30x = 0 Divide each side by '-30'. x = 0.0 Simplifying x = 0.0
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