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Simplifying 35x + -24 = 14x + -30 + 3(7x + 1) Reorder the terms: -24 + 35x = 14x + -30 + 3(7x + 1) Reorder the terms: -24 + 35x = 14x + -30 + 3(1 + 7x) -24 + 35x = 14x + -30 + (1 * 3 + 7x * 3) -24 + 35x = 14x + -30 + (3 + 21x) Reorder the terms: -24 + 35x = -30 + 3 + 14x + 21x Combine like terms: -30 + 3 = -27 -24 + 35x = -27 + 14x + 21x Combine like terms: 14x + 21x = 35x -24 + 35x = -27 + 35x Add '-35x' to each side of the equation. -24 + 35x + -35x = -27 + 35x + -35x Combine like terms: 35x + -35x = 0 -24 + 0 = -27 + 35x + -35x -24 = -27 + 35x + -35x Combine like terms: 35x + -35x = 0 -24 = -27 + 0 -24 = -27 Solving -24 = -27 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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