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Simplifying 6(7x + 7) = 7(6x + 1 + -6) Reorder the terms: 6(7 + 7x) = 7(6x + 1 + -6) (7 * 6 + 7x * 6) = 7(6x + 1 + -6) (42 + 42x) = 7(6x + 1 + -6) Reorder the terms: 42 + 42x = 7(1 + -6 + 6x) Combine like terms: 1 + -6 = -5 42 + 42x = 7(-5 + 6x) 42 + 42x = (-5 * 7 + 6x * 7) 42 + 42x = (-35 + 42x) Add '-42x' to each side of the equation. 42 + 42x + -42x = -35 + 42x + -42x Combine like terms: 42x + -42x = 0 42 + 0 = -35 + 42x + -42x 42 = -35 + 42x + -42x Combine like terms: 42x + -42x = 0 42 = -35 + 0 42 = -35 Solving 42 = -35 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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