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Simplifying 3(x + -7) + 2x = 5(x + -1) Reorder the terms: 3(-7 + x) + 2x = 5(x + -1) (-7 * 3 + x * 3) + 2x = 5(x + -1) (-21 + 3x) + 2x = 5(x + -1) Combine like terms: 3x + 2x = 5x -21 + 5x = 5(x + -1) Reorder the terms: -21 + 5x = 5(-1 + x) -21 + 5x = (-1 * 5 + x * 5) -21 + 5x = (-5 + 5x) Add '-5x' to each side of the equation. -21 + 5x + -5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + 0 = -5 + 5x + -5x -21 = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 = -5 + 0 -21 = -5 Solving -21 = -5 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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