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Simplifying 6(x + -2) + -1x = 5(x + -1) Reorder the terms: 6(-2 + x) + -1x = 5(x + -1) (-2 * 6 + x * 6) + -1x = 5(x + -1) (-12 + 6x) + -1x = 5(x + -1) Combine like terms: 6x + -1x = 5x -12 + 5x = 5(x + -1) Reorder the terms: -12 + 5x = 5(-1 + x) -12 + 5x = (-1 * 5 + x * 5) -12 + 5x = (-5 + 5x) Add '-5x' to each side of the equation. -12 + 5x + -5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 0 = -5 + 5x + -5x -12 = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 = -5 + 0 -12 = -5 Solving -12 = -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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