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Simplifying -2(3x + 1) = 7 + 3(-2x + -7) Reorder the terms: -2(1 + 3x) = 7 + 3(-2x + -7) (1 * -2 + 3x * -2) = 7 + 3(-2x + -7) (-2 + -6x) = 7 + 3(-2x + -7) Reorder the terms: -2 + -6x = 7 + 3(-7 + -2x) -2 + -6x = 7 + (-7 * 3 + -2x * 3) -2 + -6x = 7 + (-21 + -6x) Combine like terms: 7 + -21 = -14 -2 + -6x = -14 + -6x Add '6x' to each side of the equation. -2 + -6x + 6x = -14 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 0 = -14 + -6x + 6x -2 = -14 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 = -14 + 0 -2 = -14 Solving -2 = -14 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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