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Simplifying 5(6x + -7) + 3x = 4x + -32 + 29x Reorder the terms: 5(-7 + 6x) + 3x = 4x + -32 + 29x (-7 * 5 + 6x * 5) + 3x = 4x + -32 + 29x (-35 + 30x) + 3x = 4x + -32 + 29x Combine like terms: 30x + 3x = 33x -35 + 33x = 4x + -32 + 29x Reorder the terms: -35 + 33x = -32 + 4x + 29x Combine like terms: 4x + 29x = 33x -35 + 33x = -32 + 33x Add '-33x' to each side of the equation. -35 + 33x + -33x = -32 + 33x + -33x Combine like terms: 33x + -33x = 0 -35 + 0 = -32 + 33x + -33x -35 = -32 + 33x + -33x Combine like terms: 33x + -33x = 0 -35 = -32 + 0 -35 = -32 Solving -35 = -32 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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