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Simplifying 5(x + -7) + 21 = 5x + -27 Reorder the terms: 5(-7 + x) + 21 = 5x + -27 (-7 * 5 + x * 5) + 21 = 5x + -27 (-35 + 5x) + 21 = 5x + -27 Reorder the terms: -35 + 21 + 5x = 5x + -27 Combine like terms: -35 + 21 = -14 -14 + 5x = 5x + -27 Reorder the terms: -14 + 5x = -27 + 5x Add '-5x' to each side of the equation. -14 + 5x + -5x = -27 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 0 = -27 + 5x + -5x -14 = -27 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 = -27 + 0 -14 = -27 Solving -14 = -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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