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Simplifying -6(x + 3) = -7(x + -7) + x Reorder the terms: -6(3 + x) = -7(x + -7) + x (3 * -6 + x * -6) = -7(x + -7) + x (-18 + -6x) = -7(x + -7) + x Reorder the terms: -18 + -6x = -7(-7 + x) + x -18 + -6x = (-7 * -7 + x * -7) + x -18 + -6x = (49 + -7x) + x Combine like terms: -7x + x = -6x -18 + -6x = 49 + -6x Add '6x' to each side of the equation. -18 + -6x + 6x = 49 + -6x + 6x Combine like terms: -6x + 6x = 0 -18 + 0 = 49 + -6x + 6x -18 = 49 + -6x + 6x Combine like terms: -6x + 6x = 0 -18 = 49 + 0 -18 = 49 Solving -18 = 49 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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