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Simplifying 3 + 5(2x + -7) = 7x + 3x + 1 Reorder the terms: 3 + 5(-7 + 2x) = 7x + 3x + 1 3 + (-7 * 5 + 2x * 5) = 7x + 3x + 1 3 + (-35 + 10x) = 7x + 3x + 1 Combine like terms: 3 + -35 = -32 -32 + 10x = 7x + 3x + 1 Reorder the terms: -32 + 10x = 1 + 7x + 3x Combine like terms: 7x + 3x = 10x -32 + 10x = 1 + 10x Add '-10x' to each side of the equation. -32 + 10x + -10x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 -32 + 0 = 1 + 10x + -10x -32 = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 -32 = 1 + 0 -32 = 1 Solving -32 = 1 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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