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Simplifying 5(x + -7) = 3(x + -2) + 2x Reorder the terms: 5(-7 + x) = 3(x + -2) + 2x (-7 * 5 + x * 5) = 3(x + -2) + 2x (-35 + 5x) = 3(x + -2) + 2x Reorder the terms: -35 + 5x = 3(-2 + x) + 2x -35 + 5x = (-2 * 3 + x * 3) + 2x -35 + 5x = (-6 + 3x) + 2x Combine like terms: 3x + 2x = 5x -35 + 5x = -6 + 5x Add '-5x' to each side of the equation. -35 + 5x + -5x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -35 + 0 = -6 + 5x + -5x -35 = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -35 = -6 + 0 -35 = -6 Solving -35 = -6 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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