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Simplifying 6(2x + 7) = 7(6x + 6) Reorder the terms: 6(7 + 2x) = 7(6x + 6) (7 * 6 + 2x * 6) = 7(6x + 6) (42 + 12x) = 7(6x + 6) Reorder the terms: 42 + 12x = 7(6 + 6x) 42 + 12x = (6 * 7 + 6x * 7) 42 + 12x = (42 + 42x) Add '-42' to each side of the equation. 42 + -42 + 12x = 42 + -42 + 42x Combine like terms: 42 + -42 = 0 0 + 12x = 42 + -42 + 42x 12x = 42 + -42 + 42x Combine like terms: 42 + -42 = 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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