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Simplifying 6(5x + 7) = 5(6x + -8) Reorder the terms: 6(7 + 5x) = 5(6x + -8) (7 * 6 + 5x * 6) = 5(6x + -8) (42 + 30x) = 5(6x + -8) Reorder the terms: 42 + 30x = 5(-8 + 6x) 42 + 30x = (-8 * 5 + 6x * 5) 42 + 30x = (-40 + 30x) Add '-30x' to each side of the equation. 42 + 30x + -30x = -40 + 30x + -30x Combine like terms: 30x + -30x = 0 42 + 0 = -40 + 30x + -30x 42 = -40 + 30x + -30x Combine like terms: 30x + -30x = 0 42 = -40 + 0 42 = -40 Solving 42 = -40 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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